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arxiv: 1801.09077 · v1 · pith:EMY4QTRYnew · submitted 2018-01-27 · 🧮 math.DS · math.AP

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

classification 🧮 math.DS math.AP
keywords eulerexothermicglobalreactionsolutionsanalysisbalancecauchy
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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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