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
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.