Existence result for stationary compressible fluids and asymptotic behavior in thin films
Analysis of PDEs
2009-06-09 v1 Mathematical Physics
math.MP
Abstract
In this paper, we are first interested in the compressible Navier-Stokes equations with densitydependent viscosities in bounded domains with on-homogeneous Dirichlet conditions. We study the wellposedness of such models with non-constant coefficients in non-stationary and stationary cases. We apply the last result in thin domains context, justifying the compressible Reynolds equations.
Keywords
Cite
@article{arxiv.0906.1509,
title = {Existence result for stationary compressible fluids and asymptotic behavior in thin films},
author = {Laurent Chupin and Rémy Sart},
journal= {arXiv preprint arXiv:0906.1509},
year = {2009}
}