Special Session 12: Hyperbolic Partial Differential Equations and Applications
Vanishing Shear Viscosity and Boundary Layer for the Navier-Stokes Equations with Cylindrical Symmetry and Planar MHD system
Xulong Qin
Sun Yat-sen University Peoples Rep of China
Co-Author(s):
Abstract:
We consider an initial boundary problem for the Navier-Stokes Equations with Cylindrical Symmetry and the planar MHD system . The limit of the vanishing shear viscosity is justified. In addition, the $L^2$ convergence rate is obtained together with the estimation on the thickness of the boundary layer.