Special Session 3: Recent Mathematical Progress in Boundary Layer Problems

Incompressible limit of compressible systems in $\R^3$

Xianpeng Hu
The Hong Kong Polytechnic University
Peoples Rep of China
Co-Author(s):    Guochun Wu, Xin Zhong
Abstract:
We will discuss the incompressible limit of compressible Navier-Stokes equations. As the volume viscosity tends to infinity, the limit system of compressible Navier-Stokes equations with discontinuous initial data is the density-dependent incompressible Navier-Stokes equation. In this setting, the global convergence to the limit system around an equilibrium is justified.