Stability and Uniqueness of Global Solutions to Euler Equations with Exothermic Reaction
Dynamical Systems
2018-01-30 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1801.09077,
title = {Stability and Uniqueness of Global Solutions to Euler Equations with Exothermic Reaction},
author = {Kai Hu},
journal= {arXiv preprint arXiv:1801.09077},
year = {2018}
}