Weak solution for compressible fluid models of Korteweg type
Analysis of PDEs
2008-03-14 v1
Abstract
This work is devoted to proving existence of global weak solutions for a general isothermal model of capillary fluids derived by J.E Dunn and J.Serrin (1985) \cite{3DS}, which can be used as a phase transition model. We distinguish two cases when the dimension N=2 and N=1, in the first case we need that , when N=1 we get a weak solution in finite time in the energy space.
Keywords
Cite
@article{arxiv.0803.1925,
title = {Weak solution for compressible fluid models of Korteweg type},
author = {Boris Haspot},
journal= {arXiv preprint arXiv:0803.1925},
year = {2008}
}