Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations
Analysis of PDEs
2014-10-03 v1
Abstract
We approximate a two--phase model by the compressible Navier-Stokes equations with a singular pressure term. Up to a subsequence, these solutions are shown to converge to a global weak solution of the compressible system with the congestion constraint studied for instance by P.L. Lions and N. Masmoudi [ Annales I.H.P., 1999]. The paper is an extension of the previous result obtained in one-dimensional setting by D. Bresch et al. [ C. R. Acad. Sciences Paris, 2014] to the multi-dimensional case with heterogeneous barrier for the density.
Cite
@article{arxiv.1410.0498,
title = {Free/Congested Two-Phase Model from Weak Solutions to Multi-Dimensional Compressible Navier-Stokes Equations},
author = {Charlotte Perrin and Ewelina Zatorska},
journal= {arXiv preprint arXiv:1410.0498},
year = {2014}
}