JournalsaihpcVol. 16, No. 3pp. 373–410

On a free boundary barotropic model

  • P.-L. Lions

    CEREMADE-URA CNRS 749 Université Paris Dauphine, place de Lattre de Tassigny, 75775 Paris cedex 16, France

  • N. Masmoudi

    DMI, École Normale Supérieure, 45 rue d'Ulm, 75005 Paris, France
On a free boundary barotropic model cover
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Abstract

We prove stability (or compactness) and existence results for a free boundary model of a barotropic compressible fluid. Then, we construct weak solutions as asymptotic limits of the isentropic compressible Navier-Stokes equations as γ goes to ∞.

Résumé

Nous montrons l'existence de solutions faibles globales pour un modèle de fluide compressible barotrope. Ces solutions sont construites à partir d'une limite asymptotique des solutions de Navier-Stokes isentropique compressible.

Cite this article

P.-L. Lions, N. Masmoudi, On a free boundary barotropic model. Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 3, pp. 373–410

DOI 10.1016/S0294-1449(99)80018-3