Weak Solutions for the Stationary Anisotropic and Nonlocal Compressible Navier-Stokes System
Analysis of PDEs
2020-04-10 v2
Abstract
In this paper, we prove global existence of weak solutions for the stationary compressible Navier-Stokes equations with an anisotropic and nonlocal viscous term in a periodic domain. This gives an answer to an open problem important for applications in geophysics or in microuidics. The main idea is to adapt in a non-trivial way the new idea developped by the authors in a previous paper, see [2] which allowed them to treat the anisotropic compressible quasi-stationary Stokes system.
Keywords
Cite
@article{arxiv.2003.04587,
title = {Weak Solutions for the Stationary Anisotropic and Nonlocal Compressible Navier-Stokes System},
author = {D. Bresch and Cosmin Burtea},
journal= {arXiv preprint arXiv:2003.04587},
year = {2020}
}