Special Session 32: Recent developments in mathematical theories of complex fluids

Incompressible limit of three dimensional compressible viscoelastic systems with vanishing shear viscosity

xianpeng hu
city university of hong kong
Peoples Rep of China
Co-Author(s):    
Abstract:
We will discuss the incompressible limit of compressible viscoelastic systems when the shear viscosity converges to zero. The incompressible limit is characterised by the large value of the volume viscosity. In the limit, the dispersive effect of pressure waves disappears and the global convergence to the limit system around an equilibrium is justified with the help of vector fields.