GEMETHNES erc

On the stationary compressible Stokes equations

Thierry Gallou√ęt

(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.