Global smooth solution for the compressible Landau-Lifshitz-Bloch equation
Authors:
Boling Guo and Fangfang Li
Affiliation:
Institute of Applied Physics and Computational Mathematics,Beijing,China and Institute of Applied Mathematics,Chinese Academy of Sciences,Beijing, China
Abstract:
The Landau-Lifshitz-Bloch equation is often used to describe micromagnetic phenomenon under high temperature. In this paper, we establish the existence and uniqueness of global smooth solution for the initial problem of the compressible Landau-Lifshitz-Bloch equation in dimension one.