Special Session 5: Recent developments in Partial Differential Equations from Physics

Incompressible limit of compressible viscoelastic system with vanishing shear viscosity

Xiufang Cui
Lanzhou University
Peoples Rep of China
Co-Author(s):    
Abstract:
We study the vanishing shear viscosity limit and the incompressible limit of compressible viscoelastic system near the equilibrium. The large value of volume viscosity forces the limit system to be incompressible and the vanishing shear viscosity indicates that the limit system is inviscid. The generalized energy estimate and the ghost weight method are used to guarantee the global convergence from compressible viscoelastic system to the incompressible elastodynamics.