Contents Online
Communications in Mathematical Sciences
Volume 18 (2020)
Number 3
On the smooth solutions of Landau–Lifshitz–Bloch equations of antiferromagnets
Pages: 837 – 849
DOI: https://dx.doi.org/10.4310/CMS.2020.v18.n3.a11
Authors
Abstract
In this paper, we investigate the smooth solutions for the antiferromagnets Landau–Lifshitz–Bloch (LLB) equation with periodic initial value, which can describe the dynamics of micromagnets under high temperature. The existence and uniqueness of smooth solutions for LLB equation in $\mathbb{R}^2$ and $\mathbb{R}^3$ are proved.
Keywords
smooth solutions, Landau–Lifshitz–Bloch equation
2010 Mathematics Subject Classification
35A01, 35A02, 35B65
This work has been supported by the National Natural Science Foundation of China (Grant No. 11571254 and 11801597).
Received 26 August 2018
Accepted 6 December 2019
Published 30 June 2020