Landau-Lifshitz-Bloch equation on Riemannian manifold
Analysis of PDEs
2018-07-04 v1
Abstract
In this article, we bring in Landau-Lifshitz-Bloch(LLB) equation on -dimensional closed Riemannian manifold and prove that it admits a unique local solution. In addition, if and norm of initial data is sufficiently small, the solution can be extended globally. Moreover, if , we can prove that the unique solution is global without assuming small initial data.
Keywords
Cite
@article{arxiv.1807.00989,
title = {Landau-Lifshitz-Bloch equation on Riemannian manifold},
author = {Boling Guo and Zonglin Jia},
journal= {arXiv preprint arXiv:1807.00989},
year = {2018}
}