Existence of weak solutions for compressible Navier-Stokes equations with entropy transport
Analysis of PDEs
2016-03-31 v1
Abstract
We consider the compressible Navier-Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential temperature which, unlike in the Navier-Stokes-Fourier system, satisfies only the transport equation. We provide existence results within three alternative weak formulations of the corresponding classical problem. Our constructions hold for the optimal range of the adiabatic coefficients from the point of view of the nowadays existence theory.
Keywords
Cite
@article{arxiv.1603.08965,
title = {Existence of weak solutions for compressible Navier-Stokes equations with entropy transport},
author = {David Maltese and Martin Michalek and Piotr B. Mucha and Antonin Novotny and Milan Pokorny and Ewelina Zatorska},
journal= {arXiv preprint arXiv:1603.08965},
year = {2016}
}