一类混合流体模型的激波结构

Shock Structure of a Mixed Fluid Model

研究一类耦合流体方程的激波结构.首先研究在Rakine-Hugoniot跳跃条件和熵条件下方程的激波状态.然后考虑带有粘性耗散项系统的行波解,发现粘性耗散项的介入,使得方程存在唯一连接激波解的行波解.这类行波解是单调光滑的.

In this paper,we study the shock wave structure of a coupled fluid model.Firstly,we study the shock state under the condition of Rankine-Hugoniot jump and entropy.Then we consider the traveling wave solution of the system with viscous dissipation,there exists a unique traveling wave solution that connects shock wave states asymptotically.And this kind of traveling wave solution is monotonic and smooth.