An existence proof for the stationary compressible Stokes problem | Zendy

A. Fettah | Zendy; T. Gallouët | Zendy; Halim Lakehal | Zendy

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An existence proof for the stationary compressible Stokes problem

Author(s) -

A. Fettah,

T. Gallouët,

Halim Lakehal

Publication year - 2014

Publication title -

annales de la faculté des sciences de toulouse mathématiques

Language(s) - English

Resource type - Journals

eISSN - 2258-7519

pISSN - 0240-2963

DOI - 10.5802/afst.1427

Subject(s) - limit (mathematics) , mathematics , compressibility , mathematical analysis , stationary solution , function (biology) , stationary state , physics , mechanics , quantum mechanics , evolutionary biology , biology

International audienceIn this paper, we prove the existence of a solution for a quite general stationary compressible Stokes problem including, in particular, gravity effects. The Equation Of State gives the pressure as an increasing superlinear function of the density. This existence result is obtained by passing to the limit on the solution of a viscous approximation of the continuity equation

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