题目:  Asymptotic stability of a rarefaction wave for a symmetric hyperbolic-parabolic system of conservation laws 

报告人：Shinya Nishibata, Tokyo Institute of Technology（日本东京工业大学）

摘要:

In this talk, we discuss a large time behavior of a solution to a coupled system of viscous and inviscid conservation laws. We, mainly, talk about an asymptotic stability of a rarefaction wave under assuming the existence of an entropy function. This condition enables us to transform the original system to a normal form of symmetric hyperbolic-parabolic systems. In asymptotic analysis, we derive an a priori  estimate by an energy method. In order to derive the basic estimate, we make use of an energy form, which is obtained by substituting a smooth approximation of the rarefaction wave in the entropy function. The symmetric system is utilized in deriving the  estimates of the higher order derivatives of solutions. In this procedure, we suppose that the stability condition hold at spatial far field.

时间: 2018年1月17日（周三）下午16:10-17:10

地点：首师大本部教二楼527教室

欢迎各位师生积极参加！