An existence proof for the stationary compressible Stokes problem

A. Fettah; T. Gallouët; H. Lakehal

Annales de la faculté des sciences de Toulouse Mathématiques (2014)

  • Volume: 23, Issue: 4, page 847-875
  • ISSN: 0240-2963

Abstract

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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.

How to cite

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Fettah, A., Gallouët, T., and Lakehal, H.. "An existence proof for the stationary compressible Stokes problem." Annales de la faculté des sciences de Toulouse Mathématiques 23.4 (2014): 847-875. <http://eudml.org/doc/275296>.

@article{Fettah2014,
abstract = {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.},
author = {Fettah, A., Gallouët, T., Lakehal, H.},
journal = {Annales de la faculté des sciences de Toulouse Mathématiques},
keywords = {convection-diffusion; regularized problem; existence; compressible Stokes problem},
language = {eng},
number = {4},
pages = {847-875},
publisher = {Université Paul Sabatier, Toulouse},
title = {An existence proof for the stationary compressible Stokes problem},
url = {http://eudml.org/doc/275296},
volume = {23},
year = {2014},
}

TY - JOUR
AU - Fettah, A.
AU - Gallouët, T.
AU - Lakehal, H.
TI - An existence proof for the stationary compressible Stokes problem
JO - Annales de la faculté des sciences de Toulouse Mathématiques
PY - 2014
PB - Université Paul Sabatier, Toulouse
VL - 23
IS - 4
SP - 847
EP - 875
AB - 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.
LA - eng
KW - convection-diffusion; regularized problem; existence; compressible Stokes problem
UR - http://eudml.org/doc/275296
ER -

References

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