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Article Dans Une Revue Journal de Mathématiques Pures et Appliquées Année : 2007

On compressible Navier-Stokes equations with density dependent viscosities in bounded domains

Résumé

The present note extends to smooth enough bounded domains recent results about barotropic compressible Navier–Stokes systems with density dependent viscosity coefficients. We show how to get the existence of global weak solutions for both classical Dirichlet and Navier boundary conditions on the velocity, under appropriate constraints on the initial density profile and domain curvature. An additional turbulent drag term in the momentum equation is used to handle the construction of approximate solutions.

Dates et versions

hal-00385852 , version 1 (20-05-2009)

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Citer

Didier Bresch, Benoît Desjardins, David Gerard-Varet. On compressible Navier-Stokes equations with density dependent viscosities in bounded domains. Journal de Mathématiques Pures et Appliquées, 2007, 87 (9), pp.227-235. ⟨10.1016/j.matpur.2006.10.010⟩. ⟨hal-00385852⟩
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