Incompressible, inviscid limit of the compressible Navier-Stokes system

We prove some asymptotic results concerning global (weak) solutions of comp ressible isentropic Navier-Stokes equations. More precisely, we establish t he convergence towards solutions of incompressible Euler equations, as the density becomes constant, the Mach number goes to 0 and the Reynolds number goes to infinity. (C) 2001 Editions scientifiques et medicales Elsevier SA S.