Existence results for the 3-D regular flows of viscoelastic fluids with a differential constitutive law of White-Metzner type;Résultats d'existence pour les écoulements réguliers de fluides viscoélastiques incompressibles à loi différentielle de type White-Metzner en dimension 3

Comptes Rendus Mathematique

Volumn 338, Issue 2, 2004, Pages 171-176

  Molinet, Luc ^a   Talhouk, Raafat ^b  

^a UNIVERSITÉ PARIS 13   (France)

^b LEBANESE UNIVERSITY   (Lebanon)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0742271963     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2003.10.028     Document Type: Article

References (8)

1. Chemin J.-Y. Masmoudi N. About lifespan of regular solutions of equations related to viscoelastic fluids SIAM J. Math. Anal. 33 2001 84-112
2. Gaidos R.E. Darby R. Numerical simulation and change in type in the developing flow of a nonlinear viscoelastic fluid J. Non-Newtonian Fluid Mech. 29 1988
3. Guillopé C. Saut J.C. Existence results for flow of viscoelastic fluids with a differential constitutive law Nonlinear Anal. 15 1990 849-869
4. Hakim A. Mathematical analysis of viscolelastic fluids of White-Metzner type J. Math. Anal. Appl. 185 1994 675-705
5. L. Molinet, R. Talhouk, On the global and periodic regular flows of viscoelastic fluids with a differential constituve law, Nonlinear Differential Equations Appl., in press
6. L. Molinet, R. Talhouk, Existence and stability results for 3-D regular flows of viscoelastic fluids of White-Metzner type, Preprint
7. Serrin J. A note on the existence of periodic solutions of the Navier-Stokes equations Arch. Rational Mech. Anal. 3 1959 120-122
8. Valli A. Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method Annal. Scu. Norm. Sup. Pisa 10 1983 607-647