Weak solutions of the Landau--Lifshitz--Bloch equation
Analysis of PDEs
2016-05-18 v1
Abstract
The Landau--Lifshitz--Bloch (LLB) equation is a formulation of dynamic micromagnetics valid at all temperatures, treating both the transverse and longitudinal relaxation components important for high-temperature applications. We study LLB equation in case the temperature raised higher than the Curie temperature. The existence of weak solution is showed and its regularity properties are also discussed. In this way, we lay foundations for the rigorous theory of LLB equation that is currently not available.
Keywords
Cite
@article{arxiv.1605.04898,
title = {Weak solutions of the Landau--Lifshitz--Bloch equation},
author = {Kim Ngan Le},
journal= {arXiv preprint arXiv:1605.04898},
year = {2016}
}