Special Session 114: New developments in Analysis of Mathematical Fluid Dynamics

Time-periodical solution to compressible Euler Equation

Huimin Yu
Shandong Normal University
Peoples Rep of China
Co-Author(s):    Peng Qu and Xiaomin Zhang
Abstract:
In this talk, we will discuss some recent work on the time-periodical solutions of compressible Euler equations with damping or geometric effects. We will focus on the solutions triggered by time periodic boundary conditions. Firstly, the steady states are analyzed. Then, the existence, stability and uniqueness of the supersonic/subsonic temporal periodic solutions around the steady states are given. Finally, the time periodic transonic shock will be discussed.