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An existence proof for the stationary compressible Stokes problem
Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 23 (2014) no. 4, pp. 847-875.

In 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.

Dans cet article, nous prouvons l’existence d’une solution pour le problème de Stokes compressible stationnaire en tenant compte, en particulier, des effets gravitaires. L’équation d’état donne la pression comme une fonction strictement croissante superlinéaire de la densité. L’existence de solution est obtenue en passant à la limite sur une approximation visqueuse de l’équation de continuité.

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DOI: 10.5802/afst.1427
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     title = {An existence proof for the stationary compressible {Stokes} problem},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {847--875},
     publisher = {Universit\'e Paul Sabatier, Toulouse},
     volume = {Ser. 6, 23},
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A. Fettah; T. Gallouët; H. Lakehal. An existence proof for the stationary compressible Stokes problem. Annales de la Faculté des sciences de Toulouse : Mathématiques, Serie 6, Volume 23 (2014) no. 4, pp. 847-875. doi : 10.5802/afst.1427. https://afst.centre-mersenne.org/articles/10.5802/afst.1427/

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