NAVIER-STOKES EQUATIONS IN A THIN DOMAIN WITH VANISHING VISCOSITY

Citation
Mr. Laydi et M. Lenzner, NAVIER-STOKES EQUATIONS IN A THIN DOMAIN WITH VANISHING VISCOSITY, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 326(1), 1998, pp. 127-130
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
07644442
Volume
326
Issue
1
Year of publication
1998
Pages
127 - 130
Database
ISI
SICI code
0764-4442(1998)326:1<127:NEIATD>2.0.ZU;2-D
Abstract
We study the behavior of a fluid submitted to a traction in a thin bas in with vanishing isotropic viscosity. The model we get links horizont al velocity and pressure limits. We give the exact solution in a parti cular case and a variational formulation in the general case.