
2018


30. Convergence of approximations to stochastic scalar conservation laws, Archive for Rational Mechanics and Analysis, (), 153, 2018, Sylvain Dotti, Julien Vovelle


2017


29. Stochastic isentropic Euler equations, to appear in Annales de l'ENS, F. Berthelin, J. Vovelle



28. Invariant Measures for a Stochastic FokkerPlanck Equation, to appear in Kinetic and Related Models (KRM), S. De Moor, M. Rodrigues, J. Vovelle



27. Regularity of Stochastic Kinetic Equations, Electron. J. Probab.
Volume 22 (2017), paper no. 48, 42 pp, Ennio Fedrizzi, Franco Flandoli, Enrico Priola, Julien Vovelle


2016


26. Diffusion limit for the radiative transfer equation perturbed by a Markov process, Asymptotic Analysis, 2016, 98 (12), pp.3158,
A. Debussche, S. De Moor, J. Vovelle


2015


25. Diffusion limit for the radiative transfer equation perturbed by a Wiener process,
Kinetic and Related Models, Volume 8, Issue 3, 2015 Pages 467492, A. Debussche, S. De Moor, J. Vovelle



24. Degenerate parabolic stochastic partial differential equations: quasilinear case, The Annals of Probability, 2016, 44 (3), pp.19161955, A. Debussche, M. Hofmanová, J. Vovelle



23. Invariant measure of scalar firstorder conservation laws with stochastic forcing,
Probability Theory and Related Fields: Volume 163, Issue 3 (2015), Page 575611, A. Debussche, J. Vovelle


2012


22. A kinetic approach in nonlinear parabolic problems with L1data, ZAA, Volume 31, Issue 3, 2012, pp 307334, M. Pierre, J. Vovelle



21. On a phase field model for solidliquid phase transitions, Discrete and Continuous Dynamical SystemA, Volume 32, Issue 6, 2012, Pages 19972025, S. BenzoniGavage, L. Chupin, D. Jamet, J. Vovelle



20. Diffusion limit for a stochastic kinetic problem, Communications on Pure and Applied Analysis, Volume 11, Issue 6, November 2012, Pages: 2305  2326, A. Debussche, J. Vovelle

2010


19. Existence and regularity of extremal solutions for a meancurvature equation, J. Differential Equations 249 (2010), 3775,
A. Mellet, J. Vovelle


18. Scalar conservation laws with stochastic forcing, J. Funct.
Anal. (2010), doi:10.1016/j.jfa.2010.02.016, A. Debussche, J. Vovelle


17. A BGK approximation to scalar
conservation laws with discontinuous flux, Proceedings A of the Royal Society of Edinburgh, 140, no. 5, (2010), pp 953  972, F. Berthelin, J. Vovelle

2009


16. Longtime behavior in scalar conservation laws, Differential and Integral Equations, 22 (2009), no. 34, 225238, A. Debussche, J. Vovelle

2008


15. Convergence of the Finite Volume Method for scalar conservation laws with discontinuous flux function, M2AN Math. Model. Numer. Anal. 42 (2008), no. 5, 699727, S. Martin, J. Vovelle

2007


14. About Global Existence for Quadratic Systems of ReactionDiffusion, Advanced Nonlinear Studies, 7 (2007), no. 3, 491511, L. Desvillettes, K. Fellner, M. Pierre, J. Vovelle


13. Largetime behaviour of the entropy
solution of a scalar conservation law with boundary conditions, Quart. J. of Mech. and Appl. Maths., 65 (2007), no. 3, 425450, S. Martin, J. Vovelle


12. Occurence and nonappearance of shocks in fractal Burgers equations, Journal of Hyperbolic Differential Equations, 4 (2007), no. 3, 479499, N. Alibaud, J. Droniou, J. Vovelle


11. Error estimate for the finite volume
scheme applied to the advection equation, Numerische Mathematik 106 (2007), no. 1, 129155, B. Merlet, J. Vovelle

2006


10. Existence and uniqueness of entropy solution
of scalar conservation laws with a flux function involving discontinuous
coefficients, Comm. Partial Differential Equations, 31 (2006),
pp.~371395, F. Bachmann, J. Vovelle 

9. Error estimates for the approximation of
nonlinear conservation laws on bounded domains by the finite
volume method, Math. Comp., 75 (2006), pp.~113150, M. Ohlberger, J. Vovelle 
2004


8. An error estimate for the parabolic approximation of
multidimensional scalar conservation laws with boundary,
Ann. Inst. H. Poincaré Anal. Non Linéaire
21 (2004), no.~5, 689714, J. Droniou, C. Imbert, J. Vovelle 

7. Kinetic formulation for multidimensional scalar conservation laws
with boundary conditions and applications,
SIAM J.
Math. Anal. 36 (2004), no.~1, 214232, C. Imbert, J. Vovelle 
2003


6. Limit boundary conditions for finite volume approximations of some
physical problems, Journal of Computational and Applied Mathematics
(2003), Vol 161, pp 349369, R. Eymard, T. Gallouet, J. Vovelle 

5. Global solution and smoothing effect for a nonlocal regularization of an
hyperbolic equation, Journal of Evolution
Equations, Vol. P. Bénilan (2003) vol 3, no 3, pp 499521, J. Droniou, T. Gallouet, J. Vovelle 

4. Entropy Formulation for Parabolic Degenerate
Equations with General Dirichlet Boundary Conditions and Application to the Convergence of FV
Methods , SIAM Journal of numerical analysis, (2003), vol 41, no 6, pp 22622293, A. Michel, J. Vovelle 

3. Analysis and approximation of a scalar conservation law with a flux
function with discontinuous coefficient,
M3AS, 13 (2003), no 2, pp 221257, N. Seguin, J. Vovelle 

2. L1 solutions to first order hyperbolic
equations in bounded domains, CPDE, 28 (2003), 1&2, pp 381408, A. Porretta, J. Vovelle 
2002


1. Convergence of Finite Volume Scheme
for Conservation Law on Bounded Domain, Numerische Mathematik 90 (2002),
no. 3, 563596. J. Vovelle 