Incompressible limit for solutions of the isentropic Navier-Stokes equations with Dirichlet boundary conditions (Q1305135)

This paper deals with the study of the so-called incompressible limit for solutions of the compressible isentropic Navier-Stokes equations. The limit of global weak solutions in a bounded domain with homogeneous Dirichlet boundary conditions on the velocity, as the Mach number goes to zero, is studied. It is shown that the velocity converges weakly in \(L^2\) to a global weak solution of the incompressible Navier-Stokes equations. The convergence in \(L^2\) is strong under some geometric assumptions on the domain.