Year: 2020
Author: Boling Guo, Yongqian Han, Daiwen Huang, Fangfang Li
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 1 : pp. 1–30
Abstract
This paper is devoted to investigating the existence and uniqueness of the solution of Landau-Lifshitz-Bloch-Maxwell equation. The Landau-Lifshitz-Bloch-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 ($H$1, $L$2, $L$2), the existence of the global weak solution is established. If the initial data is in ($H$$m$+1, $H$$m$, $H$$m$) ($m$ ≥ 1), the existence and uniqueness of the global smooth solution are established.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-AAM-18063
Annals of Applied Mathematics, Vol. 36 (2020), Iss. 1 : pp. 1–30
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 30
Keywords: Landau-Lifshitz-Bloch-Maxwell equation global solution paramagnetic-ferromagnetic transition temperature-dependent magnetic theory Landau-Lifshitz theory.