$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy
Analysis of PDEs
2010-09-09 v1
Abstract
We establish the global existence of solutions for a model of polytropic gas flow with diffusive entropy. The result is obtained by showing the convergence of a class of finite difference schemes, which includes the Lax-Friedrichs and Godunov schemes. Such convergence is achieved by proving the estimates required for the application of the compensated compactness theory.
Keywords
Cite
@article{arxiv.1009.1458,
title = {$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy},
author = {Hermano Frid and Helge Holden and Kenneth H. Karlsen},
journal= {arXiv preprint arXiv:1009.1458},
year = {2010}
}