Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional
Analysis of PDEs
2020-01-22 v2
Abstract
We follow the idea of Wang \cite{W} to show the existence of global weak solutions to the Cauchy problems of Landau-Lifshtiz type equations and related heat flows from a -dimensional Euclidean domain or a -dimensional closed Riemannian manifold into a 2-dimensional unit sphere . Our conclusions extend a series of related results obtained in the previous literature.
Keywords
Cite
@article{arxiv.2001.05628,
title = {Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional},
author = {Bo Chen and Youde Wang},
journal= {arXiv preprint arXiv:2001.05628},
year = {2020}
}