List of publications

Books
Book chapters
Papers
Proceedings
Software
Patents
Reports

Books

 - V. Volpert. Elliptic partial differential equations. Volume 2. Reaction-diffusion equations. Birkhauser, 2014, 784+xviii.
- V. Volpert. Elliptic partial differential equations. Volume 1. Fredholm theory of elliptic problems in unbounded domains. Birkhauser, 2011.
- A. Ducrot, M. Marion, V. Volpert. Reaction-diffusion waves (with the Lewis number different from 1). Publibook, Paris, 2008.
- V. Volpert. Stabilization of the index for elliptic problems. Publibook, 2007.
- N. Bessonov, V. Volpert. Dynamic models of plant growth. Publibook, 2006.
- A. Volpert, Vit. Volpert, Vl. Volpert. Traveling wave solutions of parabolic systems. Translation of Mathematical Monographs, Vol. 140, Amer. Math. Society, Providence, 1994.
- A. Abramian, S. Vakulenko, V. Volpert. Editors. Patterns and waves. Saint Petersburg, 2003.

Book chapters

- Kurbatova, P.; Eymard, N.; Tosenberger, A.; Volpert, V.; Bessonov, N. Application of hybrid discrete-continuous models in cell population dynamics.  BIOMAT 2011, 110, World Sci. Publ., Hackensack, NJ, 2012.
- V. Volpert, N. Bessonov, N. Eymard, A. Tosenberger. Modele multi-echelle de la dynamique cellulaire. In: Le vivant discret et continu, Nicolas Glade et d’Angelique Stephanou, Editeurs, Editions Materiologiques, 2013.
- V. Volpert, V. Vougalter Emergence and Propagation of Patterns in Nonlocal Reaction-Diffusion Equations Arising in the Theory of Speciation. M.A. Lewis et al. (eds.), Dispersal, Individual Movement and Spatial Ecology, Lecture Notes in Mathematics 2071, DOI 10.1007/978
- N. Bessonov, P. Kurbatova, V. Volpert. Pattern Formation in Hybrid Models of Cell Populations. In: Pattern formation in morphogenesis. Problems and Mathematical Issues Series: Springer Proceedings in Mathematics, Vol. 15 (2012), Capasso, V.; Gromov, M.; Harel-Bellan, A.; Morozova, N.; Pritchard, L. (Eds.) ISBN 978-3-642-20163-9, pp. 107-119.
- N. Bessonov, I. Demin, P. Kurbatova, L. Pujo-Menjouet, V. Volpert. Multi-Agent Systems and Blood Cell Formation. In: Multi-Agent Systems -Modeling, Interactions, Simulations and Case Studies, ISBN 978-953-307-176-3, edited by F. Alkhateeb, E. Al Maghayreh, I. A. Doush (2011), http://www.intechopen.com/articles/show/title/multi-agent-systems-and-blood-cell-formation
- V. Volpert. Reaction-diffusion waves: classical theory and recent development.
- N. Bessonov, J. Pojman, V. Volpert. Modelling of diffuse interfaces with temperature gradients. In: Thermal and concentrational capillary effects in complex systems, Ekaterinburg, 2002.
- L. Mirantsev, V. Volpert. Molecular dynamics and mean field approach for binary liquids. In: Thermal and concentrational capillary effects in complex systems, Ekaterinburg, 2002.
- J. Pojman, Vit. Volpert, Vl Volpert, Nonlinear dynamics of SHS-like process in polymer chemistry. Chapitre dans le livre Self-Propagating High-Temperature Synthesis of Materials, eds. A. A. Borisov, L. T. De Luca, A. G. Merzhanov, Taylor and Francis, 2002.
- V.A. Volpert, A.I. Volpert. Existence and stability of traveling waves in chemical kinetics. In: Dynamics of chemical and biological systems, Novosibirsk, Nauka, 1989, pp. 56-131.

Papers in reviewed journals

 A233. N. Eymard, V. Volpert, P. Kurbatova et al. Mathematical model of T-cell lymphoblastic lymphoma: disease, treatment, cure or relapse of a virtual cohort of patients. Mathematical Medicine and Biology (2016) 00, 123 doi: 10.1093/imammb/dqw019
A232. A. Bouchnita, G. Bocharov, A. Meyerhans, V. Volpert. Towards a Multiscale Model of Acute HIV Infection. Computations, 5 (2017), 1-22; doi:10.3390/computation5010006.
A231. G. Bocharov, A. Meyerhans, N. Bessonov, S. Trofimchuk, V. Volpert. Spatiotemporal dynamics of virus infection spreading in tissues. PlosOne, DOI:10.1371/journal.pone.0168576 December 20, 2016.
A230. G. Bocharov, A. Bouchnita, J. Clairambault, V. Volpert. Mathematics of Pharmacokinetics and Pharmacodynamics: Diversity of Topics, Models and Methods. Math. Model. Nat. Phenom., 11 (2016), no. 6, 1-8.
A229. M. Banerjee, V. Volpert. Spatio-temporal pattern formation in Rosenzweig-Macarthur model: effect of nonlocal interactions. Ecological Complexity.
A228. A. Bouchnita, K. Bouzaachane, T. Galochkina, P. Kurbatova, P. Nony, V. Volpert. An individualized blood coagulation model to predict INR therapeutic range during warfarin treatment. Math. Model, Nat. Phenom, 11 (2016), no. 6, 28-44.
A227. A. Bouchnita, T. Galochkina, P. Kurbatova, P. Nony, V. Volpert. Conditions of microvessel occlusion for blood coagulation in flow. International Journal for Numerical Methods in Biomedical Engineering, in press.
A226. F. Caraguel, N. Bessonov, J. Demongeot, D. Dhouailly, V. Volpert. Wound Healing and Scale Modelling in Zebrafish. Acta Biotheor DOI 10.1007/s10441-016-9298-8, 11 November, 2016.
A225. M. Banerjee, V. Vougalter, V. Volpert. Doubly nonlocal reaction-diusion equations and the emergence of species. Applied Mathematical Modelling, in press.
A224. A. Bouchnita, T. Galochkina, V. Volpert. Influence of antithrombin on the regimes of blood coagulation: insights from the mathematical model. Acta Biotheoretica, 64 (2016), 64, no. 4, 327-342.
A223. T. Galochkina, H. Ouzzane, A. Bouchnita, V. Volpert. Traveling wave solutions in the mathematical model of blood coagulation. Applicable Analysis, in press.
A222. N. Eymard , V. Volpert, N. Bessonov, K. Ogungbenro, P. Janiaud, L. Aarons, A. Bajard, S. Chabaud, Y. Bertrand, B. Kassai, P. Kurbatova, C. Cornu, P. Nony. Mathematical model of T-cell lymphoblastic lymphoma: disease, treatment, cure or relapse of a virtual cohort of patients.
Mathematical Medicine and Biology, in press.
A221. K. Allali, Y. Joundy, A. Taik, V. Volpert. Influence of natural convection on heat explosion in porous media. Combustion, explosion and shock waves, in press.
A220. A. Bouchnita, N. Eymard, T. Moyo, M. Koury, V. Volpert. Bone marrow infiltration by multiple myeloma causes anemia by reversible disruption of erythropoiesis. American Journal of Hematology, 91 (2016), no. 4, 371-378.
A219. N. Bessonov, A. Sequeira, S. Simakov, Yu. Vassilevskii, V. Volpert. Methods of Blood Flow Modelling. Math. Model. Nat. Phenom. 11 (2016), no. 1, 1-25.
A218. A. Stephanou, V. Volpert. Hybrid Modelling in Biology: A Classification Review Math. Model. Nat. Phenom. 11 (2016), no. 1, 37-48.
A217. M. Banerjee, J. Demongeot, V. Volpert. Global Regulation of Individual Decision Making. Mathematical Methods in the Applied Sciences, 2016, in press.
A216. A. Bouchnita, G. Bocharov, A. Meyerhans, V. Volpert. Hybrid approach to model the spatial regulation of T cell responses. BMC Immunology. 2016, in press.
A215. V. Vougalter, V. Volpert. Existence of stationary solutions for some non-Fredholm integro-differential equations with superdiffusion. J. Pseudo-Differ. Oper. Appl. (2016). doi:10.1007/s11868-016-0173-9, pp. 1-24.
A214. V. Vougalter, V. Volpert. Existence of stationary solutions for some integro-differential equations with superdiffusion. Rendiconti del Seminario Matematico della Universit di Padova. In press.
A213. V. Vougalter, V. Volpert. Existence of Stationary Solutions for some Systems of Integro- Differential Equations, DNC, 5 (2016), no. 1, 77-86.
A212. Malay Banerjee, Vitaly Volpert. Prey-predator model with a nonlocal consumption of prey. Chaos. 2016, in press.
A211. A. Bouchnita, A. Rocca, E. Fanchon, M.J. Koury, J.M. Moulis, V. Volpert. Multi-scale modelling of erythropoiesis and of hemoglobin production. J. Inorganic and Metallo-organic Polymers. 2016, in press.
A210. V. Vougalter, V. Volpert. On the Existence of Stationary Solutions for Some Systems of Integro-Differential Equations with Anomalous Diffusion. Discontinuity, Nonlinearity, and Complexity 5(3) (2016) 285-295.
A209. G. Panasenko, V. Volpert. Homogenization of a one-dimensional diffusion - discrete absorption equation with feedback. Applicable Analysis, 95 (2016), no. 7, 1507-1516.
A208. M. Marion, V. Volpert. Existence of pulses for a monotone reaction-diffusion system Pure and Applied Functional Analysis, 1 (2016), no. 1, 97-122.
A207. Maya Emmons-Bell, Fallon Durant, Jennifer Hammelman, Nicholas Bessonov, Vitaly Volpert, Junji Morokuma, Kaylinnette Pinet, Dany S. Adams, Alexis Pietak, Daniel Lobo, Michael Levin. Gap Junctional Blockade Stochastically Induces Different Species-Specific Head Anatomies in Genetically Wild-Type Girardia dorotocephala Flatworms. Int. J. Mol. Sci. 2015,16, 27865-27896.
A206. N. Bessonov, N. Reinberg, V. Volpert. How morphology of artificial organisms influences their evolution Ecological Complexity, 24 (2015), 57-68.
A205. M. Alfaro, N. Apreutesei, F. Davidson, V. Volpert. Preface to the Issue Nonlocal Reaction-Diffusion Equations Mathematical Modelling of Natural Phenomena, 10 (2015), 6, 1-5.
A204. K. Allali, V. Volpert, V. Vougalter. A model of miscible liquids in porous media Electronic Journal of Differential Equations, 2015 (264), 1-10.
A203. N. Eymard, V. Vougalter, V. Volpert. Existence of Pulses for Local and Nonlocal Reaction-Diffusion Equations Journal of Dynamics and Differential Equations, 2015.
A202. N. Bessonov, M. Levin, N. Morozova, N. Reinberg, A. Tosenberger, V. Volpert. Target morphology and cell memory: a model of regenerative pattern formation. Neural Regen Res, 2015, DOI:10.4103/1673-5374.165216.
A201. V. Vougalter, V. Volpert. Existence of stationary solutions for some integro-differential equations with anomalous diffusion, Journal of Pseudo-Differential Operators and Applications, 6 (2015), no. 4, 487–501.
A200. A. Bouchnita, A. Tosenberger, V. Volpert. On the regimes of blood coagulation. Applied Mathematics Letters, 51 (2016) 7479.
A199. J. Demongeot, V. Volpert. Dynamical system model of individual decision making and propagation. J. Biol. Systems, 23 (2015), no. 3, 339-353.
A198. Agathe Bajard, Sylvie Chabaud, Catherine Cornu, Anne-Charlotte Castellan, Salma Malik, Polina Kurbatova, Vitaly Volpert, Nathalie Eymard, Behrouz Kassai, Patrice Nony. How to select the most appropriate randomized controlled clinical trial design: a new approach using modelling and simulation. Journal of clinical epidemiology 07/2015; DOI:10.1016/j.jclinepi.2015.06.024
A197. M. Benmir, N. Bessonov, S. Boujena, V. Volpert. Travelling Waves of Cell Differentiation. Acta Biotheoretica, 63 (2015), 381395, 10.1007/s10441-015-9264-x
A196. A Tosenberger, F Ataullakhanov, N Bessonov, M Panteleev, A Tokarev, V Volpert. Modelling of platelet-fibrin clot formation in flow with a DPD-PDE method. Journal of Math. Biology, 70 (2015), no. 1-2, 7197. DOI:10.1007/s00285-015-0891-2.
A195. A. Tosenberger, N. Bessonov, M. Levin, N. Reinberg, V.Volpert, N. Morozova. A conceptual model of morphogenesis and regeneration. Acta Biotheoretica, 63 (2015), no. 3, 283-294.
A194. V. Volpert, N. Reinberg, M. Benmir, S. Boujena. On pulse solutions of a reaction-diffusion system in population dynamics Nonlinear Analysis, 120 (2015), 76-85.
A193. V. Vougalter, V. Volpert. Existence of stationary solutions for some nonlocal reaction-diffusion equations. Dynamics of PDE, Vol.12, No.1, 43-51, 2015.
A192. N. Bessonov, M. Levin, N. Morozova, N. Reinberg, A. Tosenberger, V. Volpert. On a Model of Pattern Regeneration Based on Cell Memory. PLoS ONE 03/2015; 10(2).
A191. P Kurbatova, N Bessonov, V Volpert, H. A. W. M. Tiddens, C Cornu, P Nony, D Caudri. Model of mucociliary clearance in cystic fibrosis lungs. Journal of Theoretical Biology 03/2015; DOI:10.1016/j.jtbi.2015.02.023
A190. A. Tosenberger, N. Bessonov, V. Volpert. Influence of Fibrinogen Deficiency on Clot Formation in Flow by Hybrid Model. Math. Model. Nat. Phenom., 10 (2015) No. 1, 36-47.
A189. V. Volpert. Pulses and waves for a bistable nonlocal reaction-diffusion equation. Applied Mathematics Letters, 44 (2015), 21-25.
A188. V. Vougalter, V. Volpert. On the existence of stationary solutions for some nonlinear heat equations. Annales Academiae Scientiarum Fennicae Mathematica, 40 (2015), no. 1, 1-8.
A187. K. Allali, F. Bikany, A. Taik, V. Volpert. Numerical Simulations of Heat Explosion With Convection In Porous Media. Combustion Science and Tecnology, 187 (2015), no. 3, 384-395.
A186. P. Kurbatova, A. Bajard, H. Tiddens, V. Volpert, C. Cornu, N. Bessonov, B. Kassai, S. Chabaud, P. Nony, D. Caudri. SFP PC-29 - Modlisation de plans exprimentaux dessais cliniques randomiss dans la mucoviscidose. (Projet Europen CRESIM) Archives de Pdiatrie 05/2014; 21(5):919.
A185. V. Volpert. Branching and aggregation in self-reproducing systems. ESAIM: Proceedings and Surveys, 47 (2014), 116-129.
A184. P. Nony, P. Kurbatova, A. Bajard, S. Malik, C. Castellan, S. Chabaud, V. Volpert, N. Eymard, B. Kassai, C. Cornu, The CRESim and Epi-CRESim study groups. A methodological framework for drug development in rare diseases. Orphanet Journal of Rare Diseases 2014, 9:164, 1-10.
A183. Vitali Vougalter, Vitaly Volpert. Solvability Relations For Some Diffusion Equations With Convection Terms Discontinuity, Nonlinearity, and Complexity 3(4) (2014) 457–465.
A182. Vitali Vougalter, Vitaly Volpert. Existence of stationary pulses for nonlocal reaction-diffusion equations, Documenta Mathematica, 19 (2014) 1141-1153.
A181. Vitali Vougalter and Vitaly Volpert. On the solvability in the sense of sequences for some non-Fredholm operators. Dynamics of PDE, Vol.11, No.2, 109-124, 2014.
A180. N. Bessonov, N. Reinberg, V. Volpert. Mathematics of Darwins Diagram. Math. Model. Nat. Phenom., Vol. 9, No. 3, 2014, 5-25.
A179. N. Bessonov, E. Babushkina, S.F. Golovashchenko, A. Tosenberger, F. Ataullakhanov, M. Panteleev, A. Tokarev, V. Volpert. Numerical Modelling of Cell Distribution in Blood Flow. Math. Model. Nat. Phenom., 9 (2014), no. 6, 69-84.
A178. N. Eymard, N. Bessonov, O. Gandrillon, M. J. Koury, V. Volpert. The role of spatial organization of cells in erythropoiesis. Journal of Mathematical Biology, 2014.
A177. V. Volpert, V. Vougalter. Solvability Conditions For Some Non Fredholm Operators in a Layer in Four Dimensions. Discontinuity, Nonlinearity, and Complexity, 3(1) (2014) 59-71.
A176. Yu.A.Gaponenko, J.A.Pojman, V.A.Volpert, S.M.Zenkovskaja. Effect of high-frequency vibration on convection in miscible liquids. Journal of Applied Mechanics and Technical Physics. 2006. V 47. N. 2. -P.49-59.
A175. A. Tosenberger, F. Ataullakhanov, N. Bessonov, M. Panteleev, A. Tokarev, V. Volpert. Modelling of thrombus growth in flow with a DPD-PDE method. Journal of Theoretical Biology 07/2013 
A174. P. Kurbatova, .N Eymard, V. Volpert. Article: Hybrid Model of Erythropoiesis. Acta Biotheoretica 08/2013
A173. J. Clairambault, P. Magal, V. Volpert. Cancer as evolutionary process. Communications ESMTB, vol. 16 (2013), 19-23.
A172. N. Apreutesei, V. Volpert. Properness and topological degree for nonlocal integrodifferential systems. TMNA, in press.
A171.V. Volpert, V. Vougalter. Solvability in the sense of sequences to some non-Fredholm operators, Electron. J. Diff. Equ., Vol. 2013 (2013), No. 160, pp. 1-16.
A170. N. Bessonov, E. Babushkina, S.F. Golovashchenko, A. Tosenberger, F. Ataullakhanov,
M. Panteleev, A. Tokarev, V. Volpert. Numerical simulations of blood flows with non-uniform distribution of erythrocytes and platelets. Russian Journal of Numerical Analysis and Mathematical Modelling” 2013, Vol. 28, no. 5, 443-458.
A169. V. Volpert, N. Bessonov, N. Eymard, A. Tosenberger. Mod`ele multi-´echelle de la dynamique cellulaire. In: Le vivant discret et continu, Nicolas Glade et dAngelique Stephanou, Editeurs, Editions Materiologiques, 2013.
A168. N. Apreutesei, A. Tosenberger, V. Volpert. Existence of Reaction-Diffusion Waves with Nonlinear Boundary Conditions. Math. Model. Nat. Phenom., 8 (2013), no. 4, 2-17.
A167. N. Bessonov, V. Mironova, V. Volpert. Deformable cell model and its application to growth of plant meristem. Math. Model. Nat. Phenom., 8 (2013), no. 3, 62-79.
A166. V. Volpert, V. Vougalter. Solvability in the sense of sequence for some non-Fredholm elliptic problems. Discontinuity, Nonlinearity and Complexity, in press.
A165. A. Tosenberger, F. Ataullakhanov, N. Bessonov, M. Panteleev, A. Tokarev, V. Volpert. Modelling of thrombus growth and growth stop in flow by the method of dissipative particle dynamics. Russian Journal of Numerical Analysis and Mathematical Modelling” 2012, Vol. 27, No.
A164. N. Apreutesei, V. Volpert. Reaction-diffusion waves with nonlinear boundary conditions. Nonlinear and heterogeneous medium, Volume 8, Number 1, March 2013 pp. 23-35.
A163. V. Vougalter, V. Volpert. On the existence of stationary solutions for some systems of non-Fredholm integro-differential equations. Discontinuity, Nonlinearity and Complexity, 1(2) (2012) 197209.
A162. V. Volpert, V. Vougalter. Emergence and propagation of patterns in nonlocal reactiondiffusion equations arising in the theory of speciation. In: “Dispersal, individual movement and spatial ecology”, Eds. M. Lewis, Ph. Maini, S. Petrovskii. Springer Applied Interdisciplinary Mathematics Series, in press.
A161. A. Tokarev, I. Sirakov, G. Panasenko, V. Volpert, E. Shnol, A. Butylin, and F. Ataullakhanov. Continuous Mathematical Model of Platelet Thrombus Formation in Blood Flow. Russian Journal of Numerical Analysis and Mathematical Modelling. 2012, Vol. 27, No. 2, pp.192-212.
A160. V. Vougalter, V. Volpert. Solvability conditions for some linear and nonlinear non-Fredholm elliptic problems. Analysis and Mathematical Physics, . (2012) 2:473-496.
A159. A. Ramm, V. Volpert. Convergence of Time-Dependent Turing Structures to a Stationary Solution. Acta Appl. Math., 123 (2013), no. 1, 31-42.
A158. V. Vougalter, V. Volpert. Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order. Math. Model. Nat. Phenom., 7 (2012), no. 2, 146–154.
A157. N. Bessonov, N. Eymard, P. Kurbatova, V. Volpert. Mathematical modelling of erythropoiesis in vivo with multiple erythroblastic islands. Applied Mathematics Letters, 25 (2012) 12171221.
A156. S. Fischer, P. Kurbatova, N. Bessonov, O. Gandrillon, V. Volpert, F. Crauste. Modelling erythroblastic islands: using a hybrid model to assess the function of central macrophage. Journal of Theoretical Biology, 298 (2012), 92-106.
A155. R. K. Upadhyay, V. Volpert, N. K. Thakur. Propagation of Turing patterns in a plankton model. J. Biol. Dynamics, 2012, 115.
A154. P. Kurbatova, S. Bernard, N. Bessonov, F. Crauste, I. Demin, C. Dumontet, S. Fischer,
V. Volpert. Hybrid model of erythropoiesis and leukemia treatment with cytosine arabinoside. SIAM J. Appl. Math., Vol.71 (2011), No.6, 2246-2268.
A153. N. Apreutesei, V. Volpert. Existence of travelling waves for a class of integro-differential equations from population dynamics. International Electronic Journal of Pure and Applied Mathematics, Volume 5 No. 2 2012, 53-67
A152. A. Tosenberger, V. Salnikov, N. Bessonov, E. Babushkina, V. Volpert. Particle Dynamics Methods of Blood Flow Simulations, Math. Model. Nat. Phenom., 6 (2011), No. 5, 320-332.
A151. V. Volpert, V. Vougalter. On the solvability conditions for a linearized equation. Rend. Istit. Mat. Univ. Trieste. Volume 43 (2011), 19.
A150. V. Vougalter, V. Volpert. On the existence of stationary solutions for some integro
A149. N. El Khatib, S. Genieys, B. Kazmierczak, V. Volpert. Reaction-Diffusion Model of Atherosclerosis Development. J. Math. Biol., 65 (2012), no. 2, 349374.
A148. P.Kurbatova, G.Panasenko, V.Volpert. Asymptotic numerical analysis of the diffusiondiscrete absorption equation. Math. Methods Appl. Sci. 35 (2012), no. 4, 438444.
A147. N. Bessonov, V. Volpert. Computational Algorithm for Some Problems with Variable Geometrical Structure Transactions on Computational Science VIII Lecture Notes in Computer Science, 2011, Volume 6260/2011, 87-102, DOI: 10.1007/978-3-642-16236-7-6
A146. A. Ducrot, M. Marion, V. Volpert. Spectrum of some integro-differential operators and stability of travelling waves. Nonlinear Analysis Series A: Theory, Methods and Applications, 74 (2011), no. 13, 4455-4473.
A145. N. Bessonov. F. Crauste, V. Volpert. Modelling of Plant Growth with Apical or Basal Meristem. Math. Model. Nat. Phenom., 6 (2011), No. 2, 107-132.
A144. N. Apreutesei, V. Volpert. Properness and Topological Degree for Nonlocal Reaction-Diffusion Operators. Abstract and Applied Analysis, 2011, Art. ID 629692, 21 pp.
A143. V. Vougalter, V. Volpert. On the solvability conditions for the diffusion equation with convection terms. Comm. Pure and Applied Analysis, 11 (2012), No.1, 365-373.
A142. V. Vougalter, V. Volpert. Solvability conditions for some systems with non-Fredholm operators. IEJPAM Vol. 3, No.1, 2011, 39-43.
A141. N. Bessonov, F. Crauste, S. Fischer, P. Kurbatova, V. Volpert. Application of Hybrid Models to Blood Cell Production in the Bone Marrow. Math. Model. Nat. Phenom. Vol. 6, No. 7, 2011, pp. 2-12.
A140. N. Bessonov, P. Kurbatova, V. Volpert. Dynamics of growing cell populations. Izvestiya Vuzov, 2009, 32-39.
A139. I. Demin, V. Volpert. Existence of Waves for a Nonlocal Reaction-Diffusion Equation. Math. Model. Nat. Phenom., 5 (2010), No. 5, 80-101.
A138. K. Allali, F. Bikany, A. Taik, V. Volpert. Linear stability analysis of reaction front propagation in liquids with vibrations. IEJPAM, 1 (2010), No. 2, 196-215.
A137. I. Demin, A. Ducrot, V. Volpert. Spatial distribution of cell populations in the process of erythropoiesis. IEJPAM, 1 (2010), No. 2, 143-161.
A136. N. El Khatib, S. Genieys, A. M. Zine, V. Volpert. Non-Newtonian effects in a fluidstructure interaction model for atherosclerosis, Journal Techn. Physics, 50 (2009), No. 1, 3-12.
A135. V. Vougalter, V. Volpert. Solvability conditions for some non-Fredholm operators. Proc. Edinb. Math. Soc. (2) 54 (2011), no.1, 249-271.
A134. V. Vougalter, V. Volpert. On the solvability conditions for some non-Fredholm operators. IJPAM, 60 (2010) No. 2, 169-191.
A133. F. Crauste, I. Demin, O. Gandrillon, V. Volpert. Mathematical study of feedback control
A132. N. El Khatib, S. Genieys, B. Kazmierczak, V. Volpert. Mathematical modelling of atherosclerosis as an inflammatory disease Phil. Trans. R. Soc. A December 13, 2009 367:48774886.
A131. V. Volpert, S. Petrovskii. Reaction-diffusion waves in biology. Physics of Life Reviews, 6 (2009), 267310.
A130. N. Apreutesei, N. Bessonov, V. Volpert, V. Vougalter. Spatial structures and generalized travelling waves for an integro-differential equation. DCDS B, 13 (2010), No. 3, 537-557.
A129. N. Bessonov, F. Crauste, I. Demin, V. Volpert. Dynamics of erythroid progenitors and erythroleukemia. Math. Model. Nat. Phenom., 4 (2009), No. 3, 210-232.
A128. N. M. Bessonov, S.F. Golovashchenko, V.A. Volpert. Numerical modelling of contact elastic-plastic flows. Math. Model. Nat. Phenom. Vol. 4, No. 1, 2009, pp. 44-87
A127. I. Demin, F. Crauste, O. Gandrillon, V. Volpert. Multi-scale model of erythropoiesis. J. Biological Dynamics, Volume 4, Issue 1, 2010 , pages 59 -70.
A126. E.A. Ermakova, E.E. Shnol, M.A. Panteleev, A.A. Butylin, V. Volpert, F. I. Ataullakhanov (2009). On Propagation of Excitation Waves in Moving Media: The FitzHugh-Nagumo Model. PLoS ONE 4(2): e4454. doi:10.1371/journal.pone.0004454
A125. M. A. Budroni, M. Masia, M. Rustici, N. Marchettini, V. Volpert. Bifurcations in spiral tip dynamics induced by natural convection in the Belousov-Zhabotinsky reaction. Journal of Chemical Physics, 130 (2009), 1024902.
A124. N. Apreutesei, A. Ducrot, V. Volpert. Travelling waves for integro-differential equations in population dynamics. DCDS B, 11 (2009), No. 3, 541-561.
A123. A. Apreutesei, A. Ducrot, V. Volpert. Competition of species with intra-specific competition. Math. Model. Nat. Phenom., 3 (2008), No. 4, 1-27.
A122. V. Barelko, N. Bessonov, D. Kiryukhin, G. Kichigina, A. Pumir, V. Volpert. Travelling waves of fast cryo-chemical transformations in solids (non-Arrhenius chemistry of the cold Iniverse). Math. Model. Nat. Phenom., 3 (2008), No. 5, 50-72.
A121. A. Ducrot, M. Marion, V. Volpert. Reaction-diffusion problems with non-Fredholm operators. Adv. Diff. Eq., 13 (2008), No. 11-12, 1151-1192.
A120. N. Apreutesei, V. Volpert. Solvability conditions for infinite systems of difference equations. J. Difference Equations and Applications, 15 (2009), No. 7, 659-678.
A119. J. Pojman, Yu. Chekanov, V. Wyatt, N. Bessonov, V. Volpert. Numerical simulations of convection induced by Korteweg stresses in a miscible polymer-monomer system: Effects of variable transport coefficients, polymerization rate and volume changes. Microgravity Science and Technology, 2009, DOI 10.1007/s12217-008-9071-y
A118. N. Bessonov, J. Pojman, G. Viner, V. Volpert, B. Zoltowski Instabilities of diffuse interfaces. Math. Model. Nat. Phenom., 3 (2008), No. 1, 108-125.
A117. B. Kazmierczak, V. Volpert. Mechano-chemical calcium waves in systems with immobile
A116. B. Kazmierczak, V. Volpert. Travelling calcium waves in a system with non-diffusing buffers. M3AS, 18 (2008), no. 5, 883-912.
A115. N. Bessonov, I. Demin, L. Pujo-Menjouet, V. Volpert. A multi-agent model describing self-renewal or differentiation effect of blood cell population. Mathematical and computer modelling, 49 (2009), 2116-2127.
A114. S. Genieys, N. Bessonov, V. Volpert. Mathematical model of evolutionary branching. Mathematical and computer modelling, 49 (2009), no. 11-12, 2109–2115.
A113. M.A. Budroni, M. Masia, M. Rustici, N. Marchettini, V. Volpert, P.C. Cresto. RuelleTakens-Newhouse scenario in reaction-diffusion-convection system. J. Chem. Physics, 128 (2008), 111102.
A112. B. Kazmierczak, V. Volpert. Calcium waves in a system with immobible buffers as a limit of waves with a system with nonzero diffusion. Nonlinearity, 21 (2008), No. 1, 71-96.
A111. B. Zoltowski, Yu. Chekanov, J. Masere, J.A. Pojman, V. Volpert. Evidence for the existence of an effective interfacial tension between miscible fluids. 2. Dodecyl acrylate-poly(dodecyl acrylate) in a spinning drop tensiometer. Langmuir, 23 (2007), 5522-5531.
A110. A. Volpert, V. Volpert. Elliptic problems with a parameter in unbounded domains. Adv. Diff. Eq., 2007, 12, No.5, 573-600.
A109. A. Ducrot, V. Volpert. On a model of leukemia development with a spatial cell distribution. MMNP, 2007, No. 3, 101-120.
A108. B. Kazmierczak, V. Volpert. Propagation of calcium waves. MMNP, 2007, No. 2, 106-125.
A107. N. El Khatib, S. Genieys, V. Volpert. Atherosclerosis initiation modeled as an inflammatory process. MMNP, 2007, No. 2, 126-141.
A106. A.A. Tokarev, Yu.V. Krasotkina, M.V. Ovanesov, M.A. Panteleev, M.A. Azhigirova,
V.A. Volpert, F.I. Ataullakhanov, A.A. Butilin. Spatial dynamics of contact-activated fibrin clot formation in vitro and in silico in haemophilia B: effects of severity and Ahemphil B treatment. Math. Model. Nat. Phenom , 1 (2006), No. 2, 124-137.
A105. N. Bessonov, L. Pujo-Menjouet, V, Volpert. Cell modelling of hematopoiesis. MMNP, 1, 2006, No. 2, 81-103.
A104. A. Plesa, G. Ciuperca, S. Genieys, V. Louvet, L. Pujo-Menjouet, C. Dumontet, V. Volpert. Diagnostics of the AML with immunophenotypical data. MMNP, 2006, No. 2, 124-137.
A103. N. Bessonov, N. Morozova, V. Volpert. Modelling of branching patterns in plants. Bull. Math. Biology, Volume 70, Number 3, 2008, 868-893.
A102. A. Volpert, V. Volpert. Normal solvability of general linear elliptic problems, Abstract and Applied Analysis, (2005), no. 7, 733-756.
A101. J. Pojman, N. Bessonov, V. Volpert, M.S. Paley. Miscible Fluids in Microgravity (Mfmg): A Zero-Upmass Investigation on the International Space Station, Microgravity Sci. Tech. 2007,
A100. K. Allali, A. Ducrot, A. Taik, V. Volpert. Convective instability of reaction fronts in porous media. Mathem. Modelling of Natural Phenomena, 2, (2007), No. 2, 20-39.
A99. S. Genieys, V. Volpert, P. Auger. Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Mathem. Modelling of Natural Phenomena, 1, (2006), No. 1, 63-80.
A98. S. Genieys, V. Volpert, P. Auger. Adaptive dynamics: modelling Darwin’s divergence principle. Comptes Rendus Biologies, 329 (11), 876-879 (2006).
A97. S. Kryzhevich, V. Volpert. Different types of solvability conditions for differential operators, Electron. J. Diff. Eqns., 2006, No. 100, pp. 1-24.
A96. A. Volpert, V. Volpert. Fredholm property of elliptic operators in unbounded domains. Trans. Moscow Math. Soc. (2006) 67, 127-197.
A95. S. Kryzhevich, V. Volpert. Vestnik St. Petersburg Univ. Math., 37 (2004), No. 4, 23-28.
A94. S. Kryzhevich, V. Volpert. On solvability of linear elliptic problems in unbounded cylinders, Vestnik St. Petersburg Univ. Math., 2004, 3, 30-37.
A93. A. Ducrot, V. Volpert. Modelling of convective heat explosion. Journal of Technical Physics, 2005, 46, 3, 129-143.
A92. A. Ducrot, M. Marion, V. Volpert. Systemes de reaction-diffusion sans propriete de Fredholm. CRAS, 340 (2005), 659-664.
A91. A. Ducrot, M. Marion, V. Volpert. Reaction-diffusion-convection problems with nonFredholm operators. Int. J. Pure and Applied Mathematics, 27 (2006), No. 2, 179-204.
A90. A. Volpert, V. Volpert. Formally adjoint problems and solvability conditions for elliptic operators. Russian Journal of Mathematical Physics, Vol. 11, No. 4, 2004, pp. 474-497.
A89. M. Belk, B. Kazmierczak, V. Volpert. Existence of reaction-diffusion-convection waves in unbounded cylinders. Int. J. Math. and Math. Sciences, 2005, No. 2, 169-194.
A88. A. Ducrot, M. Marion, V. Volpert. On a class of elliptic problems without Fredholm property. Izvestiya Vuzov, Mathematics and mechanics, 2004, Special issue, 93-100.
A87. N. Bessonov, J. Pojman, V. Volpert. Modelling of miscible liquids and microgravity experiments. Matapli No. 75 (2004), 51-66.
A86. S. Kryzhevich, V. Volpert. Fredholm conditions and solvability of elliptic problems in unbounded cylinders. Vestnik St. Petersburg Univ. Math. 37 (2004), no. 1, 15-22 (2005).
A85. N. Apreutesei, V. Volpert. Solvability conditions for some discrete operators. Adv. Difference Equations, 1 (2005), 1-13.
A84. A. Volpert, V. Volpert. Normal solvability of general linear elliptic problems. Abstract and Applied Analysis, 2003, 129-181.
A83. N. Bessonov, J. A. Pojman, V. A. Volpert, B. D. Zoltowski. Numerical simulations of convection induced by Korteweg stresses in miscible polymer-monomer systems. Microgravity sci.
A82. A. Lazarovici, V. Volpert, J.H. Merkin. Steady states, oscillations and heat explosion in a combustion problem with convection. Eur. J. Appl. Math. B/Fluids, 24 (2005), 189-203.
A81. N. Apreutesei, V. Volpert. Some properties of infinite dimensional discrete operators. TMNA, 2004, 24, No. 1, pp. 159-182.
A80. M. Belk, V. Volpert. Modelling of heat explosion with convection. Chaos 14 (2004), no. 2, 263–273.
A79. N. Apreutesei, V. Volpert. Elliptic regularization for the heat equation with nonlinear boundary conditions. Asymptot. Anal. 35 (2003), no. 2, 151–164.
A78. A. Agouzal, S. Boujena, I. Ciuperca, V. Volpert. Stability of reaction fronts in thin domains. Int. J. Math. Math. Sci. 2004, no. 1-4, 77–90.
A77. N. Bessonov, J. Pojman, V. Volpert. Modelling of diffuse interfaces with temperature gradients. J. Engrg. Math. 49 (2004), no. 4, 321–338.
A76. B. Kazmierczak, V. Volpert. Existence of heteroclinic orbits for systems satisfying monotonicity conditions. Nonlinear Anal. 55 (2003), no. 4, 467–491.
A75. M. Belk, K. Kostarev, V. Volpert, T. Yudina. Frontal polymerization with convection. Journal of Physical Chemistry B, Volume 107, Issue 37 (2003), pp. 10292-10298.
A74. I. Kostin, M. Marion, R. Texier-Picard, V. Volpert. Modelling of miscible liquids with the Korteweg stress. M2AN, 37 (2003) No. 5, pp. 741-754.
A73. Bazile, M; Nichols, HA; Pojman, JA; Volpert, V Effect of Orientation on Thermoset Frontal Polymerization Journal of Polymer Science Part A Polymer Chemistry 2002, 40, No. 20, pp. 3504-3508
A72. A. Volpert, V. Volpert. Normal solvability and properness of elliptic problems. Partial differential equations, 193–237, Amer. Math. Soc. Transl. Ser. 2, 206, M. Agranovich, M. Shubin, Eds. Amer. Math. Soc., Providence, RI, 2002.
A71. F. Laurent, M. Massot, V. Volpert. Propagation de flammes gaseuses dans la limite de diffusion massique nulle. CRAS.
A70. G. Dzhardimalieva, A. Pomogailo, V. Volpert. Frontal polymerization of metal containing monomers. J. Inorganic and Organometallic Polymers. 2002, 12, No. 1/2, pp. 1-21.
A69. T. Dumont, S. Genieys, M. Massot, V. Volpert. Interaction of thermal explosion and natural convection: critical conditions and new oscillating regimes. SIAM J. Appl. Math., 63 (2002), no. 1, 351-372.
A68. R. Texier, V. Volpert. Reaction-diffusion-convection problems in unbounded cylinders. Revista Matematica Complutense, 16, (2003) No. 1, pp. 233-276.
A67. R. Texier, V. Volpert. Probl`emes de r´eaction-diffusion-convection dans des cylindres non born`es. CRAS, 333, Serie I, (2001), pp. 1077-1082.
A66. V. Volpert, B. Kazmierczak, M. Massot, Z. Peradzynski. Solvabilitity conditions for
A65. V. Volpert, A. Volpert. Properness and topological degree for general elliptic operators. Abstract and Applied Analysis, 2003, No. 3, pp. 129-182.
A64. V. Volpert, A. Volpert. Normal solvability of linear elliptic problems. CRAS, 334, Serie I (2002), pp. 457-462.
A63. J. Pojman, R. Texier, V. Volpert. Convection induced by composition gradients in miscible systems. CRAS Mecanique, 330 (2002) 353-358.
A62. S. Vakulenko, V. Volpert. New effects in propagation of waves for reaction-diffusion systems. Asymptotic Analysis, 38(1) (2004),11-33.
A61. C. Barillon, G. Makhviladze, V. Volpert. Stability of stationary solutions for a model of heat explosion in a two-phase medium. Eur. J. Applied Math., 2001, 12, pp. 57-75.
A60. A. Volpert, V. Volpert. Existence of multidimensional travelling waves and systems of waves. Comm. PDE, 2001, Volume 26, Numbers 3-4, pp. 421 -459.
A59. C. Barillon, V. Volpert. Topological degree for a class of elliptic operators in Rn . Top. Methods of Nonlinear Analysis, 1999, 14, No. 2, pp. 275-293.
A58. K. Allali, V. Volpert, J. Pojman. Influence of vibrations on convective instability of polymerization fronts. J. of Engineering Mathematics, 41 (2001) 13–31.
A57. S. Vakulenko, V. Volpert. Generalized travelling waves for perturbed monotone reactiondiffusion systems. Nonlinear Analysis. TMA 2001 (46) 757-776.
A56. M. Mejai, V. Volpert. Convergence to systems of waves for viscous scalar conservation laws. Asymptotic Analysis, 1999, 20, pp. 351-366.
A55. V. Volpert, A. Volpert. Spectrum of elliptic operators and stability of travelling waves. Asymptotic Analysis, 2000, 23, pp. 111-134.
A54. C. Barillon, G. Makhviladze, V. Volpert. Existence of solutions for an elliptic-algebraic system describing heat explosion in a two-phase medium. M2AN, 2000, 34, No. 3, pp. 555-573.
A53. R. Texier, J. Pojman, V. Volpert. Effect of interfacial tension on stability of polymerization fronts. Chaos, 2000, 10, No. 1, pp. 224-230.
A52. V.A. Volpert, Yu.M. Suhov. Stationary solutions of non-autonomous Kolmogorov-Petrovsky-Piskunov equations. Ergodic Theory and Dynamical Systems, 1999, 19, pp. 809-835.
A51. J.F. Collet, V. Volpert. Computation of the index of linear elliptic operators in unbounded cylinders. J. Funct. Analysis, 1999, 164, pp. 34-59.
A50. B. McCaughey, J.A. Pojman, C. Simmons, V.A. Volpert. The effect of convection on a propagating front with a liquid product: comparison of theory and experiments. Chaos, 1998, 8, No. 2, pp. 520-529.
A49. V. Volpert, A. Volpert. Multidimensional travelling waves in the bistable case. CRAS, 1999, 328, pp. 245-250.
A48. V. Volpert, A. Volpert. Existence and stability of the multidimensional travelling waves
A47. V. Volpert, A. Volpert, Convective instability of reaction fronts. Linear stability analysis. Eur. J. Appl. Math., 1998, 9, pp. 507-525.
A46. V. Volpert, A. Volpert. Existence and stability of multidimensional travelling waves in the monostable case. Israel Journal of Mathematics, 1999, 110, pp. 269-292.
A45. Vit. Volpert, Vl. Volpert, V. Ilyashenko, J. Pojman. Frontal polymerization in porous medium. Chem. Eng. Sci., 1998, 53, No. 9, pp. 1655-1665.
A44. V. Volpert, A. Volpert, J.F. Collet. Topological degree for elliptic operators in unbounded cylinders. Adv. Diff. Eq., 1999, 4, No. 6, pp. 777-812.
A43. M. Garbey, A. Taik, V. Volpert. Influence of natural convection on stability of reaction fronts in liquids. Quart. Appl. Math., 1998, 53, pp. 1-35.
A42. V. Volpert, A. Volpert. Location of spectrum and stability of solutions for monotone parabolic systems. Adv. Diff. Eq., 1997, 2, No. 5, pp. 811-830.
A41. G. Bowden, M. Garbey, V. Ilyashenko, J. Pojman, S. Solovyov, V. Volpert. The effect of convection on a propagating front with a solid product: comparison of theory and experiments, J. Chem. Physics B, 1997, 101, pp. 678-686.
A40. Vl. Volpert, Vit. Volpert. Condensed phase reaction waves with variable thermo-physical characteristics. Comb. Sci. Tech., 1997, 127, No. 1-6, p. 29-53.
A39. J.F. Collet, V. Volpert. Reactive infiltration in porous media with thermal effects. Eur. J. Mechanics. B/Fluids, 1996, 15, No. 1, pp. 119-137.
A38. Vit. Volpert, Vl. Volpert, S. Solovjov, J. Pojman Hydrodynamical stability of a polymerization front. Eur. J. Applied Math., 1996, 7, pp. 303-320.
A37. V.A. Volpert, A.I. Volpert. Wave trains described by monotone parabolic systems, Nonlinear World, 1996, Vol. 3, pp. 159-181.
A36. J.M. Roquejoffre, D. Terman, V. Volpert. Global stability of travelling fronts and convergence towards wave trains in monotone parabolic systems. SIAM J. Math. Anal., 1996.
A35. M. Garbey, A. Taik, V. Volpert. Linear stability analysis of reaction fronts in liquids. Quarterly of Applied Mathematics, 1996, Vol. 54, pp. 225-247.
A34. A.I. Volpert, V.A. Volpert. The construction of the Leray-Schauder degree for elliptic operators in unbounded domains. Annales de l’IHP. Analyse non lineaire, 1994,11, No. 3, pp. 245-273.
A33. Vit. A. Volpert, Vl. A. Volpert, J. A. Pojman. Influence of heat expansion on stability of reaction fronts. Chemical Engineering Science, 1994, Vol. 49, No. 14, pp. 2385-2388.
A32. Vit. A. Volpert, Vl. A. Volpert. Propagation of frontal polymerization-crystallization waves. Eur. J. Appl. Math., 1994, Vol. 5, pp. 201-215.
A31. V.A. Volpert, L.D. Marks, R. Ai. Phase transition in metal oxides under irradiation. Phase Transition, 1993, 44, pp. 235-254.
A30. V.A. Volpert, L.D. Marks, R. Ai. Phase transition kinetics of vanadium pentoxide. Surface
A29. S.E. Solovyov, V. A. Volpert, S.P. Davtyan. Radially symmetric flow of reacting liquid with changing viscosity. SIAM J. Appl. Math., 1993, 53, No. 4, pp. 907-914.
A28. V.A. Volpert, A.I. Volpert. Existence and stability of stationary solutions for a class of parabolic systems. Commun. in Partial Diff. Equations, 1993, 18, No. 12, pp. 2051-2069.
A27. Vit.A. Volpert, Vl.A. Volpert, S.P. Davtyan, I.N. Megrabova, N.F. Surkov. Two-dimensional combustion modes in condensed flow. SIAM J. Appl. Math., 1992, 52, No. 2, pp. 368-383.
A26. V. A. Volpert, N. Elkin. Existence and stability of steady-state combustion in a flow. J. of Applied Math. and Mechanics, 1992, 56, No. 3, pp. 456-460.
A25. S.E. Solovyov, S.P Davtyan, N.F. Surkov, V.A. Volpert. Hydrodynamical features of axial symmetric reacting flow of reacting liquid. Himicheskaya Fizika, 1991, 10, No. 10, pp. 1348-1356.
A24. Vit. A. Volpert, Vl. A. Volpert. Propagation velocity estimation for condensed phase combustion. SIAM J. Appl. Math., 1991, 51, No. 4, pp. 1074-1089.
A23. S.E. Solovyov, V.A. Volpert. Radially symmetric flow of a viscous liquid between parallel planes. J. Eng. Phys., 1990, 59, No. 1, pp. 883-888.
A22. Vit. A. Volpert, Vl. A. Volpert, D. S. Davtyan. Application of a minimax method in combustion problems. Combustion, Explosion and Shock Waves, 1990, 26, No. 4, pp. 371-376.
A21. A.I. Volpert, V.A. Volpert. Wave solutions of monotone parabolic systems. Some applications of functional analysis to problems of mathematical physics, 1990, 145, pp. 49-66. Akad. Nauk SSSR Sibirsk. Otdel., Inst. Mat., Novosibirsk.
A20. Vit. A. Volpert, Vl. A. Volpert. Determination of the asymptotics of the combustion wave velocity by successive approximation, J. Appl. Mech. Tech. Phys., 1990, 31, No. 5, pp. 680-686.
A19. A.I. Volpert, V.A. Volpert. Stability of waves described by parabolic systems of equations. In: Boundary value problems for partial differential equations, Acad. Nauk SSSR, Sibirsk. Otdel., Inst. Mat., Novosibirsk, 1990. Ed. S.K. Godunov, pp. 20-34.
A18. A.I. Volpert, V.A. Volpert. Applications of the rotation theory of vector fields to the study of wave solutions of parabolic equations. Trans. Moscow Math. Soc., 1990, 52, pp. 59-108.
A17. V.A. Volpert, A.I. Volpert. Some mathematical problems of wave propagation in chemical active media. Khimicheskaya Fizika, 1990 9, No. 8, pp. 1118-1127.
A16. V.A. Volpert, A.I. Volpert. Existence and stability of waves in chemical kinetics. Khimicheskaya Fizika, 1990, 9, No. 2, pp. 238-245.
A15. Vit.A. Volpert, Vl.A. Volpert, I.N. Megrabova, S.P. Davtyan. Two-dimensional combustion conditions in flow. Combustion, Explosion and Shock Waves, 1990, 26, No. 4, pp. 413-417.
A14. I.N. Megrabova, Vit.A. Volpert, Vl.A. Volpert, S.P. Davtyan. Two-dimensional chemical reaction regimes in a flow. Doklady Physical Chemistry, 1989, 307, No. 4-6, pp. 618-620.
A13. V.A. Volpert, A.I. Volpert. Waves of chemical transformations having complex kinetics. Doklady Physical Chemistry, 1989, 309, No. 1, pp. 125-128.
A12. V.A. Volpert. Convergence to a wave of solutions of a nonlinear diffusion equation avec
A11. V.A. Volpert. Asymptotic behavior of solutions of a nonlinear diffusion equation avec a source of general type. Siberian Math. Journal, 1989, 30, No. 1, pp. 25-36.
A10. A.S. Babadzhanyan, Vl.A. Volpert, S.P. Davtyan, I.N. Megrabova, Vit. A. Volpert. Stability of frontal regimes for the occurence of an exothermic reaction with radially symmetric supply of the reagents. Combustion, Explosion and Shock Waves, 1989, 25, No. 1, pp. 23-31.
A9. V.A. Volpert, A.I. Volpert. Application of the Leray-Schauder method to the proof of existence of wave solutions of parabolic systems. Soviet Math. Dokl., 1988, 37, No. 1, pp. 138-141.
A8. A.I. Volpert, V.A. Volpert. Construction of the rotation of a vector field for operators describing wave solutions of parabolic systems. Soviet Math. Dokl., 1988, 36, No. 3, pp. 452-455.
A7. A.S. Babadzhanyan, Vl.A. Volpert, S.P. Davtyan, I.N. Megrabova, Vit. A. Volpert. Frontal regimes of an exothermic reaction with radially symmetric injection of reagents. Combustion, Explosion and Shock Waves, 1988, 24, No. 6, pp. 711-719.
A6. G.V. Zhizhin, A.S. Segal, A.S. Babadzhanyan, S.P. Davtyan, V.A. Volpert. Steady states of a spherical reaction front in a liquid of variable viscosity. Kinetics and Catalysis, 1986, 27, No. 6, pp. 1136-1140.
A5. V. Volpert, I.N. Megrabova, S.P. Davtyan. Determination of combustion and polymerization wave velocity. Combustion, Explosion and Shock Waves, 1985, 21, No. 2, pp. 151-157.
A4. V. Volpert, I.N. Megrabova, S.P. Davtyan, V.P. Begishev Propagation of a caprolactam polymerization wave. Combustion, Explosion and Shock Waves, 1985, 21, No. 4, pp. 441-447.
A3. V. Volpert, S.P. Davtyan, A.I. Malkin. Some features of the anionic activated ϵ-caprolactam polymerization under wave propagation conditions. Doklady Physical Chemistry, 1984, 29, No. 2, pp. 1075-1077.
A2. V. Volpert, S.P. Davtyan. Existence of polymerization wave with crystallization of original reactant. Doklady Akad. Nauk SSSR, 1983, 273, No. 5, pp. 1155-1158.
A1. V. Volpert, S.P. Davtyan. The problem of wave existence for the process of polymerization and crystallization. Doklady Akad. Nauk SSSR, 1983, 268, No. 1, pp. 62-65.

Patents

V.P. Begishev, S.P. Davtjan, N.S. Enikalopov, A.Ya. Malkin, T.V. Frunze, V.A. Kotelnikov, U.A. Avakjan, V.A. Volpert. Method of production of block polycaproamid. USSR Patent No. 1155606

Software

N. Bessonov, V. Volpert. Cell dynamics (Celdyn). FR.001.280015.000.S.P.2011.000.31230

Proceedings

P37. K. Allali, F. Bikany, A. Taik, V. Volpert. Influence of vibrations on convective instability of reaction fronts in liquids. Proc. Conf. JANO, Mohhamadia, 2008. Math. Model. Nat. Phenom., 5 (2010), No. 7, 35-41.
P36. N. Bessonov, P. Kurbatova, V. Volpert. Particle dynamics modelling of cell populations. Proc. Conf. JANO, Mohhamadia, 2008. Math. Model. Nat. Phenom., 5 (2010), No. 7, 42-47.
P35. K. Allali, A. Ducrot, A. Taik, V. Volpert. Linear stability abalysis of reaction fronts in porous media. International conference on approximation methods and numerical modelling in environment and natural resources, Granada, Spain, July 2007, pp. 198-202.
P34. N. El Khatib, S. Genieys, V. Volpert. Mathematical model of atherosclerosis. European Conference on Complex Systems, 01-05 October 2007, Dresden Germany.
P33. N. El Khatib, S. Genieys, M. Zine, V. Volpert. Mathematical modelling of atheroma plaque deformation using Comsol multi-physics. Comsol European Conference, 23-24 October 2007, Grenoble.
P32. N. Bessonov, J. Pojman, V. Volpert. Transient interfacial phenomena in miscible liquids. 18th Congress in Mechanics, 2007, Grenoble. http://documents.irevues.inist.fr/handle/2042/15474
P31. N. Apreutesei, V. Volpert, Fredholm property of infinite dimensional discrete operators, Beznea, Lucian (ed.) et al., Proceedings of the sixth congress of Romanian Mathematicians, Bucharest, Romania, June 28July 4, 2007. Vol. 1: Scientific contributions. Bucharest: Editura Academiei Romne, 223-229 (2009).
P30. N. Bessonov, N. Morozova, V. Volpert. Plant growth modelling. ECMI Newsletter, Mathematics and Industry, No. 41, 2007, pp. 27-28.
P.29. N. Morozova, N. Bessonov, V. Volpert. Plant growth modelling. Conference on applied and industrial mathematics, Madrid, June 2006.
P28. A. Joly, V. Volpert, A. Perrard. Dynamic Adsorption with FEMLAB, Modeling breakthrough curves of gaseous pollutants through activated carbon beds. Femlab Conference, Paris, 2005, 1-6.
P27. N. Bessonov, A. Ducrot, V. Volpert. Modelling of leukemia development in the bone marrow. Proc. of the Annual Symposium “Mathematics applied in biology and biophysics”, Iasi, 2005, 79-88.
P26. N. Apreutesei, V. Volpert. On the eigenvalue of infinite matrices with nonnegative offdiagonal elements, Proceedings of the Conference on Differential and Difference Equations and Applications (R. Agarwal and K. Perera – editors), 81-90, 2006.
P25. J. Pojman, N. Bessonov, V. Volpert, M.S. Paley. Miscible fluids in microgravity: a
P24. N. Bessonov, J. Pojman, V. Volpert. Miscible fluids in microgravity. AIAA-2004-962.
P23. N. Bessonov, J. Pojman, V. Volpert. Numerical simulations of transient interfacial phenomena in miscible fluids. AIAA-2004-631.
P22. J. Pojman, S. Popwell, D. Fortenberry, Vi. Volpert, Vl. Volpert. Nonlinear dynamics in frontal polymerization. In: Nonlinear dynamics in polymeric systems, J. Pojman, Q. Tran-Cong-Miyata, Eds. ACS Symposium Series 869, Oxford Univ. Press, pp. 106-120.
P21. V.Volpert, A.Volpert. Properness and topological degree for general elliptic operators, Proceedings of the international conference on fixed-point theory and its applications, Haifa, June 13 -19 ,2001. Editor Simeon Reich, Hindavi Publishing Corporation, pp 129-181.
P20. V. Volpert, A. Volpert. Solvability of general elliptic problems in H¨older spaces. Proceedings of the 4-th Conference on Elliptic and Parabolic Problems, Rolduc, 2001.
P19. J. Pojman, N. Bessonov, R. Texier, V. Volpert, H. Wilke. Numerical simulations of transient interfacial phenomena in miscible fluids. Proceedings AIAA, January 2002, Reno, USA.
P18. J. Pojman, Y. Chekanov, J. Masere, V. Volpert, T. Dumont, H. Wilke. Effective interfacial tension induced convection in miscible fluids. Proceedings of the 39th AIAA Aerospace Science Meeting, January 2001, Reno, USA.
P17. V. Volpert, C. Barillon, T. Dumont, S. Genieys, M. Massot. Influence of natural convection on heat explosion. Proceeding of the Third Seminar on Fire and Explosion Hazards, 2000, Preston.
P16. J. Pojman, V. Volpert, T. Dumont, et al. Bubble behavior and convection in frontal polymerization on the KC-135 aircraft. AIAA Conference, Reno, 2000.
P15. C. Barillon, G. Makhviladze, V. Volpert. Heat explosion in a two-phase medium. Proceedings Intern Conf. on Multiphase Flows, Lyon, 1998.
P14. V. Volpert, A. Volpert. Travelling waves in kinetic-diffusion systems. Int. Conf. ”Unstationary processes in catalysis”, Novosibirsk, 1990, pp. 579-584
P13. V. Volpert, A. Volpert. Combustion with complex kinetics. Proceedings, Eurofire 95, Nimes, France, 1995 in: Fire engineering and emergency planning, Ed. R. Barham, pp. 47-54.
P12. M. Garbey, A. Taik, V. Volpert. Modelization of instabilities for polymerization fronts. Proceedings of ICFD, Oxford, 1995 in: Numerical methods for fluid dynamics V, Eds. K.W. Morton, M.J. Baines, pp. 415-422.
P11. Vit. Volpert, Vl. Volpert, M. Garbey, J. Pojman. Instabilities of reaction fronts. In: Gas Phase Chemical Reaction Systems, Springer Series in Chemical Physics, Vol. 61. Eds.: J. Wolfrum. H.-P. Volpp, R. Rannacher, J. Warnatz. Springer, 1996, pp. 309-317.
P10. V. Volpert, A. Volpert. Application of the Leray-Schauder degree to investigation of travelling wave solutions of parabolic equations. Proceedings of the Second Europeen Conference on Elliptic and Parabolic Problems, Pont-`a-Mousson, France, 1994. Pitman Research Notes in Math. Series, Vol. 325, 1994, pp. 224-239.
P9. V. Volpert, A. Volpert. Multidimensional travelling waves in the bistable case. In: Progress in Partial Differential Equations, Pont-`a-Mousson, Pitman Research Notes in Mathematics Series, 2 (1997), no. 384. Pont-`a-Mousson, France, H. Amann, C. Bandle, M. Chipot, F. Conrad, I. Shafrir, editors. Volume 2, 1997, 155-173.
P8. S. Vakulenko, V. Volpert. Complex wave dynamics for reaction-diffusion systems. ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 221-239.
P7. M. Belk, V. Volpert. Complex dynamics in a problem of heat explosion with convection. ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 263-279.
P6. S. Aristov, N. Bessonov, Yu. Gaponenko, V. Volpert. Interfacial waves in binary fluids. ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 79-97.
P5. N. Bessonov, V. Volpert. On a problem of plant growth. ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 323-337.
P4. N. Bessonov, V. Volpert. On the radial return map algorithm for simulation of plastic flows. ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 367-385.
P3. Yu. Gaponenko, V. Volpert. Numerical simulations of convective Turing structures. ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 292-309.
P2. L. Mirantsev, V. Volpert. Molecular dynamics simulations of liquid droplets. ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 403-410.
P1. R. Texier, V. Volpert. Convective combustion front: an existence result ”Patterns and Waves”, A. Abramian, S. Vakulenko, V. Volpert, Eds. St. Petersburg, 2003, pp. 205-220.

Reports

- V. Volpert. Asymptotic behavior of solutions of a nonlinear diffusion equation avec positive source-function. Technical Report, Inst. Chem. Physics, Chernogolovka, 1983, 68 p.
- V. Volpert. Asymptotic behavior of solutions of a nonlinear diffusion equation. Technical Report, Inst. Chem. Physics, Chernogolovka, 1984, 35 p.
- V. Volpert. The approach of solutions of a nonlinear diffusion equation to traveling waves. Technical Report, Inst. Chem. Physics, Chernogolovka, 1984, 34 p.
- V.A. Volpert, S.P. Davtyan. Existence of traveling waves for systems describing polymerization and crystallization. Technical Report, Inst. Chem. Physics, Chernogolovka, 1982, 55 p.
- Vit.A. Volpert, Vl.A. Volpert, D.S. Davtyan. Estimates of the velocity of a combustion wave in condensed phase. Technical Report, Inst. Chem. Physics, Chernogolovka, 1988, 47 p.
- V.A. Volpert, A.I. Volpert. Traveling wave solutions of monotone parabolic systems. Technical Report, Inst. Chem. Physics, Chernogolovka, 1989, 49 p Preprint No. 146, Universit´e Lyon 1, 1993, 46 p.
- Babadzhanyan A.S., Volpert Vit.A., Volpert Vl.A. Davtyan S.P., Megrabova I.N. Frontal modes of exothermic reaction in cylindrical and spherical reactors. Technical Report, Inst. Chem.
- M. Garbey, V. Volpert. Asymptotic and numerical computation of polymerization fronts. Preprint No. 200, University Lyon 1, 1995, 30 p.