摘要
This paper is devoted to investigate the existence and uniqueness of the solution of Landau-Lifshitz-Bloch-Maxwell equation.The Landau-LifshitzBloch-Maxwell equation,which fits well for a wide range of temperature,is used to study the dynamics of magnetization vector in a ferromagnetic body.If the initial data is in(H1,L2,L2),the existence of the global weak solution is established.If the initial data is in(Hm+1,Hm,Hm)(m≥1),the existence and uniqueness of the global smooth solution are established.
基金
supported in part by the National Natural Science Foundation of China(No.11731014,No.11571254,No.11471323,No.11471057,No.11771183,No.11631008)
