EXISTENCE OF GLOBAL WEAK SOLUTIONS FOR SOME POLYMERIC FLOW MODELS, Mathematical Models and Methods in Applied Sciences, vol.15, issue.06, pp.939-983, 2005. ,
DOI : 10.1142/S0218202505000625
The transition between the Stokes equations and the Reynolds equation: A mathematical proof, Applied Mathematics & Optimization, vol.135, issue.4, pp.73-93, 1986. ,
DOI : 10.1007/BF01442229
Viscoelastic fluids in a thin domain, Quarterly of Applied Mathematics, vol.65, issue.4, pp.65-69, 2007. ,
DOI : 10.1090/S0033-569X-07-01062-X
URL : https://hal.archives-ouvertes.fr/hal-00016699
Flow of an Oldroyd-B fluid due to a stretching sheet in the presence of a free stream velocity, International Journal of Non-Linear Mechanics, vol.30, issue.3, pp.391-405, 1995. ,
DOI : 10.1016/0020-7462(94)00027-8
Elastico-viscous boundary layer flow, Proc. Camb, pp.667-674, 1964. ,
The flow of dilute polymer solutions in confined geometries: a consistent numerical approach, Journal of Non-Newtonian Fluid Mechanics, vol.25, issue.3, pp.347-364, 1987. ,
DOI : 10.1016/0377-0257(87)85034-6
Remarks on the Euler equation, Journal of Functional Analysis, vol.15, issue.4, pp.341-363, 1974. ,
DOI : 10.1016/0022-1236(74)90027-5
On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log-concave functions, and with applications to the diffusion equation, J. Funct. Anal, pp.22-366, 1976. ,
Ekman boundary layers in rotating fluids, ESAIM Controle optimal et calcul des variations, A tribute to J.-L. Lions, pp.441-466, 2002. ,
DOI : 10.1051/cocv:2002037
Some theoritical results concerning diphasic viscoelastic flows of the Oldroyd kind Advances in Differential equations, pp.9-10, 2004. ,
On the boundary layer of a FENE dumbbell fluid, 2008. ,
Viscoelastic fluid models derived from kinetic equations for polymers, SIAM J. Appl. Math, vol.62, pp.1501-1519, 2002. ,
The Theory of Polymer Dynamics, 1986. ,
Solutions de viscosité et solutions variationnelles pour EDP non-linéaires ,
Modeling of Wall Shear Stress in Large Arteries, 1998. ,
Existence results for the flow of viscoelastic fluids with a differential constitutive law, Nonlinear Analysis: Theory, Methods & Applications, vol.15, issue.9, pp.849-869, 1990. ,
DOI : 10.1016/0362-546X(90)90097-Z
Fluid Dynamics of Viscoelastic Liquids, 1990. ,
DOI : 10.1007/978-1-4612-4462-2
Existence of solution for a micro???macro model of polymeric fluid: the FENE model, Journal of Functional Analysis, vol.209, issue.1, pp.162-193, 2004. ,
DOI : 10.1016/S0022-1236(03)00183-6
Micro-macro methods for the multiscale simulation of viscoelasticity flow using molecular models of kinetic theory, Rheology Reviews, 2003. ,
On the Peterlin approximation for finitely extensible dumbbells, Journal of Non-Newtonian Fluid Mechanics, vol.68, issue.1, pp.85-100, 1997. ,
DOI : 10.1016/S0377-0257(96)01497-8
Topologie etéquationsetéquations fonctionnelles Annales scientifiques de l'ENS, série 3, pp.51-96, 1934. ,
Local Existence for the Dumbbell Model of Polymeric Fluids, Communications in Partial Differential Equations, vol.22, issue.2, pp.29-903, 2004. ,
DOI : 10.1137/0521076
The FENE-L and FENE-LS closure approximations to the kinetic theory of finitely extensible dumbbells, Journal of Non-Newtonian Fluid Mechanics, vol.87, issue.2-3, pp.179-196, 1999. ,
DOI : 10.1016/S0377-0257(99)00063-4
Boundary Conditions for the Microscopic FENE Models, SIAM Journal on Applied Mathematics, vol.68, issue.5 ,
DOI : 10.1137/060667700
Spectral methods for kinetic theory models of viscoelastic fluids, Thèse n ? 2860 Ecole Polytechnique Fédérale de Lausanne, 2003. ,
Boundary layer flow of a second grade fluid with variable heat flux at the wall, Applied Mathematics and Computation, vol.143, issue.2-3, pp.201-212, 2003. ,
DOI : 10.1016/S0096-3003(02)00352-1
Comportement asymptotique des valeurs propres d'op??rateurs elliptiques d??g??n??r??s, Journ??es ??quations aux d??riv??es partielles, pp.215-249, 1975. ,
DOI : 10.5802/jedp.130
The Falkner???Skan flow of a viscoelastic fluid, International Journal of Non-Linear Mechanics, vol.41, issue.6-7, pp.825-829, 2006. ,
DOI : 10.1016/j.ijnonlinmec.2006.04.008
A self-similar solution for forced convection boundary layer flow of a FENE-P fluid, Applied Mathematics Letters, vol.19, issue.5, pp.432-436, 2006. ,
DOI : 10.1016/j.aml.2005.05.015
Stochastic processes in polymeric fluids, 1996. ,
DOI : 10.1007/978-3-642-58290-5
A Consistent Numerical Analysis of the Tube Flow of Dilute Polymer Solutions, Journal of Rheology, vol.32, issue.1, pp.1-21, 1988. ,
DOI : 10.1122/1.549961
An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions, SIAM Journal on Mathematical Analysis, vol.22, issue.2, pp.313-327, 1991. ,
DOI : 10.1137/0522020
On the theory of lubrication and its application to Mr Beauchamp tower's experiments, including an experimental determination of the viscosity of olive oil, Phil. Trans. Roy. Soc., A, vol.117, pp.157-234, 1886. ,
Boundary layer theory, 1987. ,
DOI : 10.1007/978-3-662-52919-5
Compact sets in the spaceL p (O,T; B), Annali di Matematica Pura ed Applicata, vol.287, issue.1, pp.65-96, 1987. ,
DOI : 10.1007/BF01762360
On the hysteretic behaviour of dilute polymer solutions in relaxation following extensional flow, Journal of Non-Newtonian Fluid Mechanics, vol.82, issue.2-3, pp.82-233, 1999. ,
DOI : 10.1016/S0377-0257(98)00164-5
On a wide class of non linear models for non-newtonian fluids with mixed boundary conditions in thin domains, Asymptot. Anal, vol.44, pp.1-2, 2005. ,
Non-Newtonian Lubrication With the Convected Maxwell Model, Journal of Tribology, vol.118, issue.2, pp.344-349, 1996. ,
DOI : 10.1115/1.2831307
A mechanism for oscillatory instability in viscoelastic cross-slot flow Submit, 2007. ,
Viscoelastic boundary layer: the governing equations and boundary conditions, Arch. Mech, vol.37, pp.1-2, 1985. ,