A minimum entropy principle in the compressible multicomponent Euler equations
Analysis of PDEs
2019-09-24 v2
Abstract
In this work, the space of admissible entropy functions for the compressible multicomponent Euler equations is explored, following up on [Harten, \textit{J. Comput. Phys.}, 49 (1), 1983, pp. 151-164]. This effort allows us to prove a minimum entropy principle on entropy solutions, whether smooth or discrete, in the same way it was originally demonstrated for the compressible Euler equations by [Tadmor, \textit{Appl. Numer. Math.}, 49 (3-5), 1986, pp. 211-219].
Keywords
Cite
@article{arxiv.1906.08845,
title = {A minimum entropy principle in the compressible multicomponent Euler equations},
author = {Ayoub Gouasmi and Karthik Duraisamy and Scott M. Murman and Eitan Tadmor},
journal= {arXiv preprint arXiv:1906.08845},
year = {2019}
}