# On the stationary compressible Stokes equations

### (CMI, Marseille)

**Event:** ERC Workshop on Existence and Regularity for Nonlinear Systems of Partial Differential Equations

**Date:** Jul 03, 2014,
**time:** 11:50

**Abstract.** A way to prove the existence of a solution for the

stationary compressible Stokes equations with a quite general Equation of State is presented.

The main interest of the method

is that it can be adapted to prove the convergence (as the discretization parameter

goes to zero) of an approximated solution given by a convenient numerical scheme.

Generalizations to the Navier-Stokes equations and to the evolution equations are also

given.