PUBLICATIONS
ARTICLES PUBLIES ou ACCEPTES
1) I. Ciuperca,
"Reaction - diffusion equations on thin domains
with varying order of thinness", Journal of differential equations , Vol. 126, No. 2, p. 244-292,
(1996).
2) I. Ciuperca, "Spectral properties of Schrodinger operators on
domains with varying order of thinness",
Journal of Dynamics and Differential Equations, vol. 10, no.1,
pag. 73-108, (1998). .
3) I. Ciuperca, "A Navier-Stokes problem with a free boundary",
Applied Mathematical Letters, vol. 9, no. 5 (1996), 39-43,
4) G. Bayada, M. Chambat, I. Ciuperca, "Comportement asymptotique
d'un fluide dans un domaine mince variable en temps",
CRAS, t.326, Serie I, p. 265-268, (1996),
5) G. Bayada, M. Chambat, I. Ciuperca, " Asymptotic Navier-Stokes equations
in a thin moving boundary domain", Asymptotic Analysis,
21, pag. 117-132, (1999),
6) G. Bayada, I. Ciuperca, M. Jai, "Homogéneisation d'équations et
inéquations à paramètres oscillants. Application a l'etude
d'ecoulement de faible epaisseur en regime transitoire ",
CRAS, t.328 (2001), Serie IIB, p. 819-824,
7) G. Buscaglia, I. Ciuperca, M. Jai, "Homogenization of the transient
Reynolds equation", Asymptotic Analysis, 32 (2002), no. 2,
pag. 131 - 152,
8) I. Ciuperca, M. Jai, "Existence, uniqueness and homogeneization of the
second order slip Reynolds Equation" , Journal of Mathematical Analysis
and Applications, 286 (2003), no. 1, pag. 89 - 106,
9) A. Agouzal, S. Boujena, I. Ciuperca, V. Volpert, "Stability of
reaction fronts in thin domains" , International Journ. of
Math. and Math. Sci., no. 1-4 (2004), 77-90,
10) I. Ciuperca, M. El Alaoui Talibi, M. Jai, "On the optimal control
of coefficients in elliptic problems. Application to the optimization
of the heat slider" , ESAIM Control Optim. Calc. Var.
11 (2005), no. 1, 101-121,
11) N. Benhaboucha, I. Ciuperca, M. Chambat, "Asymptotic behaviour
of pressure and stress in a thin film flow with a rough boundary"
, Quarterly of Applied Mathematics, 63 (2005), no. 2,
369-400,
12) G. Buscaglia, I. Ciuperca, M. Jai, "On nano-scale hydrodynamic
lubrication models" , CRAS Mecanique no. 333, (2005),
187-215,
13) G. Buscaglia, I. Ciuperca, M. Jai, "Existence and uniqueness
for several nonlinear elliptic problems arising in lubrication
theory" , Journal of Differential Equations, 218, no. 1, (2005), 187-215
14) G. Buscaglia, I. Ciuperca, M. Jai, "The effect of periodic
textures
on the static characteristics of thrust bearings" ,
ASME J. of Tribology, (2005), V. 27, No. 4, pp. 899-902
15) G. Bayada, I. Ciuperca, M. Jai, "Homogenized equation and
variational inequalities with oscillating parameter. Application
to the study of thin flow behaviour with rough surface" ,
Nonlinear Analysis, Real Word and Applications no. 7, (2006), 950-966,
16) M. Boukrouche, I. Ciuperca,
"Asymptotic behaviour of solution of lubrication of lubrication
problem in a thin domain with a rough boundary and Tresca
fluid-solid interface low" , Quarterly of Applied
Mathematics, 64 (2006), no. 3, 561-591,
17) I. Ciuperca, I. Hafidi, M. Jai,
"Singular perturbation problems for the incompressible Reynolds
equation" , Electronic Journal of Differential Equations,
no. 83 (2006), 1-19,
18) G. Buscaglia, I. Ciuperca, I. Hafidi, M. Jai,
"Existence of equilibria in articulated bearings" ,
Journal of Math. Anal. and Applications, 328 (2007), no. 1, 24-45,
19) G. Buscaglia, I. Ciuperca, M. Jai,
"On the optimisation of surface textures for lubricated contacts" ,
Journal of Math. Anal. and Applications, 335 (2007),
no. 2, 1309-1327,
20) G. Buscaglia, I. Ciuperca, I. Hafidi, M. Jai,
"Existence of equilibria in articulated bearings in presence of
cavity" , Journal of Math. Anal. and Applications, 335 (2007),
no. 2, 841-859,
21) G. Buscaglia, I. Ciuperca, M. Jai, "Topological asymptotic expansion
for the generalized Poisson problem with small inclusion and application
in lubrication" , Inverse Problems 23 (2007), no. 2, 695-711,
22) I. Ciuperca, I. Hafidi, M. Jai,
"Analysis of a parabolic compressible first-order slip Reynolds
equation with discontinuous coefficients" , Nonlinear
Analysis 69 (2008), no. 4, 1219-1234,
23) I. Ciuperca, M. Jai, J. I. Tello,
"On the existence of solutions of equilibria in lubricated journal
bearings" , SIAM Journal of Mathematical Analysis 40 (2009), no.6,
2316-2327.
24) I. S. Ciuperca, L. I. Palade,
"The steady state configurational distribution diffusion equation
of the standard FENE dumbell polymer model: existence and uniqueness
of solutions for arbitrary velocity gradients"
, Mathematical Models and Methods in Applied Sciences (M3AS) Vol. 19, No. 11
(2009), 2039-2064.
25) I. Ciuperca, M. Jai, C. Poignard, "Approximate transmission conditions
through a rough thin layer . The case of periodic roughness"
, European Journal of Applied Mathematics, Vol. 21, no. 1, (2010),
51-75.
26) I. S. Ciuperca, L. I. Palade, "On the existence and uniqueness of solutions of the
configurational probability diffusion equation for the generalized rigid dumbbell polymer model",
Dynamics of Partial Differential Equations, 7 (2010)
no. 3, 245-263.
27) I. Ciuperca, J. I. Tello "Lack of contact in a lubricated mechanisme",
Quarterly of Applied Mathematics, 69 (2011) no. 2, 357-378.
28) I. S. Ciuperca, L.I. Palade, "Asymptotic behaviour of the solution of
the distribution diffusion equation for FENE dumbbell polymer model"
, Mathematical Modelling of Natural Phenomena, Vol. 6, no. 5 (2011) 84-97.
29) I. S. Ciuperca, R. Perrusel, C. Poignard "Two-scale analysis for very rough thin
layers. An explicit characterization of the polarization tensor"
, Journal des Mathematiques Pures et Appliquees, (9) 95 (2011) no. 3,
277-295.
30) I. S. Ciuperca, J.I. Tello "On a variational inequality on elasto-hydrodynamic lubrication"
, Journ. Math. Anal. Applic. 383 (2011) no. 2, 597-607.
31) I. S. Ciuperca, E. Hingant, L.I. Palade, L. Pujo-Menjouet
"Fragmentation and monomers ligthening of rod-like polymers, a relevant model of prion
proliferation"
, Discrete and Continuous Dynamical Systems, Serie B, Vol. 17 (2012) no. 3,
775-799.
32) I. S. Ciuperca, A. Heibig, L.I. Palade
"Existence and Uniqueness Results for the Doi-Edwards polymer melt model: the case of
the (full) nonlinear configurational probability density"
, Nonlinearity 25 (2012) no. 4 991-1009.
33) G. Buscaglia, I.S. Ciuperca, E. Dalissier, M.Jai
"A new cavitation model in
lubrication. The case of a two-zone cavitation model"
, J. Engrg. Math. 83 (2013) 57 - 79.
34) R. Ausas, G. Buscaglia, I.S. Ciuperca, M. Jai,
"Conservative finite volume
discretization of a new conservative model for piston-ring lubrication"
, Tribology International, Vol 57 (2013) 54 - 66.
35) V. Busuioc, I.S. Ciuperca, D. Iftimie, L.I. Palade,
"The FENE dumbbell polymer model: existence and uniqueness of solutions for the momentum balance equation"
, J. Dynam. Differential Equations 26 (2014), no. 2, 217 - 241.
36) I.S. Ciuperca, "A regularity result for a linear elliptic equation with
a Hardy-type potential" , Dynamics of Partial Differential Equations 12 (2015)
no. 1, 1 - 12.
37) I.S. Ciuperca, A. Heibig, "Existence and uniqueness of a density probability solution for
the stationary Doi-Edwards equation" , Ann. I. H. Poincare - AN 33 (2016), 1353-1373.
38) I.S. Ciuperca, A. Heibig, L.I. Palade, "On the IAA version of the Doi-Edwards model versus the
K-BKZ rheological mpodel for polymer fluids: A global existence rezult for shear flows with small initial data"
, to appear in European Journal of Applied Mathematics
PDF version
39) I.S. Ciuperca, M. Jai, J.I. Tello, "Equilibrium analysis for a mass conserving model in presence
of cavity" accepted in Nonlinear Analysis Serie B: Real World Applications
PDF version
ARTICLES SOUMIS, EN REVISION
40) I.S. Ciuperca, L.I. Palade, "Asymptotic behaviour for large gradient velocity for a simplified
1D version of the rod-like polymer model" .
41) I.S. Ciuperca, E. Feireisl, M. Jai, A. Petrov, "A non isothermal fluid in thin domains" .
42) I.S. Ciuperca, M. Dumont, A. Lakmeche, P. Mazzocco, L. Pujo-Menjouet, H. Rezai, L. Tine,
"Alzheimer diseas and prion: analysis of an in vitro mathematical model" .
ACTES DE CONGRES
1) G. Bayada, M. Chambat, I. Ciuperca, "Asymptotic behaviour of a fluid in a time
varying domain given in cylindrical coordinates", STAMM98, Trends in applications of
mathematics to mechanics, Nice, 1998
2) I. Ciuperca, A.F. Quiroga, G. Buscaglia, M. Jai, "Analytical and numerical
studies of the effect of uniform textures on lubrication devices", VIII Congreso Argentino
de Mecanica Computacional, Buenos Aires, Argentine, 2005
3) G. Buscaglia, I. Ciuperca, M. Jai, "On the optimization of surface textures for
lubricated contacts", Actes des 8-emes Journees d'Analyse
Numerique et Optimisation, 372-379, Rabat, Maroc, 2005
4) I. Ciuperca, I. Hafidi, M. Jai, "Comportement dynamique d'un mecanisme
lubrifie dans le cas incompressible" , Actes des 8-emes Journees d'Analyse
Numerique et Optimisation, 356-361, Rabat, Maroc, 2005.
5) M. Boukrouche, I. Ciuperca, "Lower semicontinuity result for the two-scale convergence"
, PAMM Sixth International Congress on Industrial and Applied Mathematics, p. 23-24, Zurich, Switzerland
2007.
6) G. Buscaglia, I.S. Ciuperca, M. El Alaoui Talibi, M. Jai
"Topological asymptotic expansion for a nonlinear elliptic equation with small inclusions.
Application to general compressible Reynolds equation" , International Conference on
Approximation Methods and Numerical Modelling in Environment and Natural Resources,
Pau (France), June 8-11 2009
7) G. Buscaglia, I.S. Ciuperca, E. Dalissier, M. Jai
"A new cavitation model in lubrication. Part 1: Theoretical results" ,
International Conference on
Approximation Methods and Numerical Modelling in Environment and Natural Resources,
Saidia (Marocco), May 23-26 2011
8) G. Buscaglia, I.S. Ciuperca, E. Dalissier, M. Jai
"A new cavitation model in lubrication. Part 2: Numerical results" ,
International Conference on
Approximation Methods and Numerical Modelling in Environment and Natural Resources,
Saidia (Marocco), May 23-26 2011
9) R. Ausas, M. Jai, I.S. Ciuperca G. Buscaglia
"A new cavitation model for the simulation of piston-ring lubrication" ,
Mecanica Computational, vol. XXX, pp. 193-208, Rosario(Argentina) November
2011
10) I.S. Ciuperca, M. Jai, J.I. Tello,
"An equilibrium problem in lubrication using the Elrod-Adams model" ,
International Conference on Approximation Methods and Numerical Modelling in Environment and Natural
Resources, Granada (Spain), April 23-26 2011
11) I.S. Ciuperca, M. Jai,
"Uniqueness and asymptotic behaviour of a 1D Elrod-Adams problem" ,
au 7e colloque sur les tendances des applications en mathematiques Tunisie, Algerie, Maroc, Tanger (Maroc),
4 - 8 Mai 2015