On a model of magnetization dynamics with vertical spin stiffness

Boundary value problems

El-Hassan Essoufi¹  Chahid Ayouch¹  Mouhcine Tilioua² 

[1] Laboratoire MISI, FST Settat, Univ. Hassan I, Settat, Morocco;M2I Laboratory, MAMCS Group, FST Errachidia, Univ. Moulay Ismaïl, Errachidia, Morocco

关键词: ferromagnetic materials;    vertical spin stiffness;    LLG equation;    global existence;    Faedo-Galerkin method;    78A25;    35Q60;    35B40;   

DOI  :  10.1186/s13661-016-0618-3

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider a mathematical model describing magnetization dynamics with vertical spin stiffness. The model consists of a modified form of the Landau-Lifshitz-Gilbert equation for the evolution of the magnetization vector in a rigid ferromagnet. The modification lies in the presence in the effective field of a nonlinear term describing vertical spin stiffness. We prove the global existence of weak solutions to the model by using the Faedo-Galerkin method and discuss the limit of the obtained solutions as the vertical spin stiffness parameter tends to zero.

【 授权许可】

CC BY