Viscous regularization of the Euler equations and entropy principles
Mathematical Physics
2012-12-24 v1 math.MP
Abstract
This paper investigates a general class of viscous regularizations of the compressible Euler equations. A unique regularization is identified that is compatible with all the generalized entropies a la Harten and satisfies the minimum entropy principle. A connection with a recently proposed phenomenological model by H. Brenner is made.
Cite
@article{arxiv.1212.5566,
title = {Viscous regularization of the Euler equations and entropy principles},
author = {Jean-Luc Guermond and Bojan Popov},
journal= {arXiv preprint arXiv:1212.5566},
year = {2012}
}