An existence proof for the stationary compressible Stokes problem

A Fettah (1) , Thierry Gallouët (1) , Lakehal H. (1)

1 I2M - Institut de Mathématiques de Marseille

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.

Domaines: Analyse classique [math.CA]

A Fettah, Thierry Gallouët, Lakehal H.. An existence proof for the stationary compressible Stokes problem. Annales de la Faculté des Sciences de Toulouse. Mathématiques., 2014, 23, pp.847 - 875. ⟨10.5802/afst.1427⟩. ⟨hal-01101959⟩