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arXiv · 1910.05793

On entropy conservation for general systems of conservation laws

Tomasz Dębiec
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Abstract

In this work we consider companion conservation laws to general systems of conservation laws. We investigate sufficient regularity for weak solutions to satisfy companion laws, assuming the fluxes to be $C^{1,\gamma}$, $0<\gamma<1$, regular. We discuss applications of the general framework to nonlinear elasticity and compressible Euler system.

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Tomasz Dębiec. 2019-10-13. On entropy conservation for general systems of conservation laws. https://arxiv.org/abs/1910.05793

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