Incompressible, Inviscid Limit of the Compressible Navier–stokes System
نویسنده
چکیده
– We prove some asymptotic results concerning global (weak) solutions of compressible isentropic Navier–Stokes equations. More precisely, we establish the 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. 2001 Éditions scientifiques et médicales Elsevier SAS RÉSUMÉ. – Nous prouvons quelques résultats asymptotiques concernant des solutions (faibles) globales des équations de Navier–Stokes (isentropique) compressible. Plus précisément, nous établissons la convergence vers une solution des équations d’Euler incompressible, lorsque la densité devient constante, le nombre de Mach tend vers 0 et le nombre de Reynolds tend vers l’infini. 2001 Éditions scientifiques et médicales Elsevier SAS
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