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Incompressible limit for a viscous compressible fluid

Lions, P.-L. ; Masmoudi, N.

Journal de mathématiques pures et appliquées, 1998-06, Vol.77 (6), p.585-627 [Periódico revisado por pares]

Paris: Elsevier SAS

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Título:
Incompressible limit for a viscous compressible fluid
Autor: Lions, P.-L. ; Masmoudi, N.
Assuntos: Classical and quantum physics: mechanics and fields ; Classical mechanics of continuous media: general mathematical aspects ; Computational methods in fluid dynamics ; Exact sciences and technology ; Fluid dynamics ; Fluid mechanics: general mathematical aspects ; Function theory, analysis ; Fundamental areas of phenomenology (including applications) ; General theory ; Mathematical analysis ; Mathematical methods in physics ; Mathematics ; Partial differential equations ; Physics ; Sciences and techniques of general use
É parte de: Journal de mathématiques pures et appliquées, 1998-06, Vol.77 (6), p.585-627
Descrição: We prove various asymptotic results concerning global (weak) solutions of compressible isentropic Navier-Stokes equations. More precisely, we show various results establishing the convergence, as the density becomes constant and the Mach number goes to 0, towards solutions of incompressible models (Navier-Stokes or Euler equations). Most of these results are global in time and without size restriction on the initial data. We also observe rigorously the linearized system around constant flows. Nous prouvons divers résultats asymptotiques concernant les solutions (faibles) globales des équations de Navier-Stokes compressibles isentropiques. Plus précisément, nous établissons divers résultats prouvant la convergence, quand la densité devient constante et le nombre de Mach tend vers 0, vers les solutions de modèles incompressibles (équations de Navier-Stockes ou d'Euler). La plupart de ces résultats sont globaux en temps et sans restriction sur la taille des conditions initiales. Nous obtenons ainsi rigoureusement le système linéaire autour de flots constants.
Editor: Paris: Elsevier SAS
Idioma: Inglês

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Incompressible limit for a viscous compressible fluid

Lions, P.-L. ; Masmoudi, N.

Paris: Elsevier SAS

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