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arXiv · 1801.09077

Stability and Uniqueness of Global Solutions to Euler Equations with Exothermic Reaction

Kai Hu
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Abstract

We consider the Cauchy problems of a non-strictly hyperbolic system which describes the compressible Euler fluid with exothermic reaction. In this paper a Lyapunov-type functional is constructed for balance laws. By analysis of the flow generated by front tracking method, we prove the well-posedness theorems and present the local features of global solutions.

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Kai Hu. 2018-01-27. Stability and Uniqueness of Global Solutions to Euler Equations with Exothermic Reaction. https://arxiv.org/abs/1801.09077

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