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Incompressible, inviscid limit of the compressible Navier–Stokes system

✍ Scribed by Nader Masmoudi

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
195 KB
Volume
18
Category
Article
ISSN
0294-1449

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✦ Synopsis

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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