Global Strong Solution to the Cauchy Problem of One-dimensional Viscous Two-fluid MHD Model
摘要
In this paper, we study on the Cauchy problem of one-dimensional compressible viscous two-fluid MHD model and establish the global existence and uniqueness of strong solutions for large initial data. The initial density is permitted to vanish and even can have compact support. By introducing the flow map Lagrangian coordinate, the uniform upper bounds on the density is obtained.