Abstract
We study here the limit of global weak solutions of the compressible Navier-Stokes equations (in the isentropic regime) in a bounded domain, with Dirichlet boundary conditions on the velocity, as the Mach number goes to 0. We show that the velocity converges weakly in L2 to a global weak solution of the incompressible Navier-Stokes equations. Moreover, the convergence in L2 is strong under some geometrical assumption on Ω.
Original language | English (US) |
---|---|
Pages (from-to) | 461-471 |
Number of pages | 11 |
Journal | Journal des Mathematiques Pures et Appliquees |
Volume | 78 |
Issue number | 5 |
DOIs | |
State | Published - Jun 10 1999 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics