INCOMPRESSIBLE LIMIT FOR A VISCOUS COMPRESSIBLE FLUID

We prove various asymptotic results concerning global (weak) solutions of compressible isentropic Navier-Stokes equations. More precisely, w e show various results establishing the convergence, as the density be comes constant and the Mach number goes to 0, towards solutions of inc ompressible models (Navier-Stokes or Euler equations). Most of these r esults are global in time and without size restriction on the initial data. We also observe rigorously the linearized system around constant flows. (C) Elsevier, Paris.