Special Session 64: Reaction-diffusion equations and applications

Uniform regularity estimates and inviscid limit for the compressible non-resistive magetohydrodynamics system
Xiufang Cui
Lanzhou University
Peoples Rep of China
Co-Author(s):    
Abstract:
We are concerned with the uniform regularity estimates of solutions to the two dimensional compressible non-resistive magnetohydrodynamics equations with the no-slip boundary condition on velocity in the half plane. Under the assumption that the initial magnetic field is transverse to the boundary, the uniform conormal energy estimates are established for the solutions to compressible MHD equations with respect to the small viscosity coefficient. As a direct consequence. we proved the inviscid limit of solutions from viscous MHD equations to the ideal MHD system by some compact argument.