Quasipotential for the ferromagnetic wire governed by the 1D Landau-Lifshitz-Gilbert equations

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:267

Article

Brzezniak, Zdzislaw¹  Hausenblas, Erika²  Li, Liang³ 

[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England

[2] Univ Leoben, Dept Appl Math, Peter Tunner Str 25-27, A-8700 Leoben, Austria

[3] Beijing Univ Chem Technol, Fac Sci, Chaoyang Dist North Third Ring Rd 15, Beijing 100029, Peoples R China

关键词: Landau-Lifshitz-Gilbert equations;    Strong solution;    Quasipotential;   

DOI  :  10.1016/j.jde.2019.03.016

来源: Elsevier

【 摘 要 】

We consider 1D Landau-Lifshitz-Gilbert equations with an external force. We first prove the existence and uniqueness of the strong solution, and then give a definition of the quasipotential and prove that the quasipotential is equal to the potential energy of the system. Crown Copyright (C) 2019 Published by Elsevier Inc. All rights reserved.

【 授权许可】

Free