Workshop - Problèmes mathématiques et modélisation en théorie cinétique

Pierre-Emmanuel Jabin

Global existence of weak solutions for Navier-Stokes Equations with thermodynamically unstable pressure and anisotropic viscous stress

We provide global existence of weak solutions for the compressible Navier-Stokes equations for more general stress tensor than those covered by P.-L. Lions and E. Feireisl's theory. More precisely we focus on more general pressure laws which are not thermodynamically stable and on anisotropy in the viscous stress tensor. Considering these two cases is important in practical situations for instance to describe solar events (virial pressure law), geophysical flows (eddy viscosity) or biological situations (anisotropy).

Joint work with D. Bresch.

Partenaires

Irmar LMJL ENS Rennes LMBA LAREMA

Tutelles

ANR CNRS Rennes 1 Rennes 2 Nantes INSA Rennes INRIA ENSRennes UBO UBS Angers UBL