Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces
Analysis of PDEs
2008-03-14 v1
Abstract
This work is devoted to the global existence of weak solution for a general isothermal model of capillary fluids derived by C. Rohde, which can be used as a phase transition model. This article is structured in the following way: first of all inspired by the result by P.-L. Lions on the Navier-Stokes compressible system we will show the global stability of weak solutions for our system with isentropic pressure and next with general pressure. Next we will consider perturbations close to a stable equilibrium as in the case of strong solutions.
Cite
@article{arxiv.0803.1930,
title = {Existence of global weak solution for compressible fluid models with a capillary tensor for discontinuous interfaces},
author = {Boris Haspot},
journal= {arXiv preprint arXiv:0803.1930},
year = {2008}
}