B. Desjardins et al., Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions, J MATH P A, 78(5), 1999, pp. 461-471
We study here the limit of global weak solutions of the compressible Navier
-Stokes equations (in the isentropic regime) in a bounded domain, with Diri
chlet boundary conditions on the velocity, as the Mach number goes to 0. We
show that the velocity converges weakly in L-2 to a global weak solution o
f the incompressible Navier-Stokes equations. Moreover, the convergence in
L-2 is strong under some geometrical assumption on Omega. (C) Elsevier, Par
is.