Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains
Analysis of PDEs
2015-04-01 v1
Abstract
We consider the compressible (barotropic) Navier-Stokes system on time-dependent domains, supplemented with slip boundary conditions. Our approach is based on penalization of the boundary behaviour, viscosity, and the pressure in the weak formulation. Global-in-time weak solutions are obtained.
Keywords
Cite
@article{arxiv.1203.1215,
title = {Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time dependent domains},
author = {Eduard Feireisl and Ondřej Kreml and Šárka Nečasová and Jiří Neustupa and Jan Stebel},
journal= {arXiv preprint arXiv:1203.1215},
year = {2015}
}