@Article{AAM-36-1,
author = {Guo, Boling and Yongqian, Han and Huang, Daiwen and Li, Fangfang},
title = {Weak and Smooth Global Solution for Landau-Lifshitz-Bloch-Maxwell Equation},
journal = {Annals of Applied Mathematics},
year = {2020},
volume = {36},
number = {1},
pages = {1--30},
abstract = {<p style="text-align: justify;">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 ($H$<sup>1</sup>, $L$<sup>2</sup>, $L$<span style="text-align: justify;"><sup>2</sup></span>), the existence of the global weak solution
is established. If the initial data is in ($H$<sup>$m$</sup><sup>+1</sup>, $H$<sup>$m$</sup>, <span style="text-align: justify;"></span><span style="text-align: justify;">$H$</span><sup style="text-align: justify; white-space: normal;">$m$</sup><sup><span style="text-align: justify; font-size: 13.3333px;"></span></sup>) ($m$ ≥ 1), the existence
and uniqueness of the global smooth solution are established.</p>},
issn = {},
doi = {https://doi.org/2020-AAM-18063},
url = {https://global-sci.com/article/72653/weak-and-smooth-global-solution-for-landau-lifshitz-bloch-maxwell-equation}
}