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

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.

preprint2010arXivOpen access
Hermano FridHelge HoldenKenneth H. Karlsen
math.AP
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Open access3 authors1 topic
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Hermano FridHelge HoldenKenneth H. Karlsen

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