$L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy

Details $L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy $L^\infty$ solutions for a model of polytropic gas flow with diffusive entropy

2010-09-08

arxiv.org/abs/1009.1458v1

Mathematics

Analysis of PDEs

Scientific paper

We establish the global existence of $L^\infty$ 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.

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