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Global Smooth Solution for the Compressible Landau-Lifshitz-Bloch Equation
Boling Guo,Fangfang Li
Keywords:Landau--Lifshitz--Bloch equation, compressible model, global solution
Abstract:
      The Landau--Lifshitz--Bloch equation is often used to model micromagnetic phenomenon under high temperature. In this paper, we establish the existence and uniqueness of global smooth solution for the Cauchy problem of the compressible Landau--Lifshitz--Bloch equation in dimension one.