Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations
| Autor: | Bresch, D., Jabin, P. -E. |
|---|---|
| Rok vydání: | 2016 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | This short paper is an introduction of the memoir recently written by the two authors (see [D.Bresch., P.--E. Jabin, arXiv:1507.04629, (2015)]) which concerns the resolution of two longstanding problems: Global existence of weak solutions for compressible Navier-Stokes equations with thermodynamically unstable pressure and with anisotropic stress tensor. We focus here on a Stokes-like system which can for instance model flows in a compressible tissue in biology or in a compressible porous media in petroleum engineering. This allows us to explain, on a simpler but still relevant and important system, the tools recently introduced by the authors and to discuss the important results that have been obtained on the compressible Navier--Stokes equations. It is finally a real pleasure to dedicate this paper to G. Metivier for his 65's Birthday. The article will appear in the corresponding special issue, Springer INdAM-Series, Eds F. Colombini, D. Del Santos, D. Lannes (2016). Comment: arXiv admin note: text overlap with arXiv:1507.04629 |
| Databáze: | arXiv |
| Externí odkaz: |
|