Existence, regularity and local uniqueness of the solutions to the Maxwell-Landau-Lifshitz system in three dimensions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:329

Article

Cimrak, Ivan

关键词: ferromagnetism;    micromagnetics;    spin-chain;    existence;    regularity;    Maxwell's equations;   

DOI  :  10.1016/j.jmaa.2006.06.080

来源: Elsevier

【 摘 要 】

We study a model of ferromagnetism governed by Maxwell's equations coupled with the non-linear Landau-Lifshitz equation of micromagnetism. We are interested in the cases of space-periodic solutions for 3D domains. Obtaining the regularity of the solution m in W-per(2,2) (Omega space and of the solutions E, H in) W-per(1,2) (Omega) space we state the existence theorem. Finally, we prove the local uniqueness of the solutions. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

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