Existence of weaks solutions for compressible Navier-Stokes equations in a moving domain

Bernard Di Martino (1)

1 SPE - Sciences pour l'environnement

The purpose of this work is to investigate an existence problem for the compressible isentropic Navier Stokes equations when the domain boundary can move according to the time. This result extends P.-L. Lions works when a fluid is defined in a moving domain. Proof of existence is based upon a simple eulerian time discretization. The main difficulty is to choose adapted distretized equations in order to obtain energy estimates and mass conservation in the approached problem.

Domaines: Equations aux dérivées partielles [math.AP]

Bernard Di Martino. Existence of weaks solutions for compressible Navier-Stokes equations in a moving domain. Stress Tensor Effects on Fluid Mechanics, Jan 2010, Pekin, China. ⟨hal-00603341⟩