Asymptotic Stability of Traveling Wave Solutions for Compressible Planar Magnetohydrodynamics System
This paper is concerned with the existence and time-asymptotic nonlinear stability of traveling wave solutions to the Cauchy problem of the one-dimensional compressible planar magnetohydrodynamics system,which governs the motions of a conducting fluid in an electro-magnetic field.Motivated by the relationship between planar magnetohydrodynamics system and Navier-Stokes system,we can prove that the solutions to the compressible planar magnetohydrodynamics system tend time-asymptotically to the traveling wave,provided that the initial disturbance is small and of integral zero.
万方数据
维普
