Article ID Journal Published Year Pages File Type
4609249 Journal of Differential Equations 2016 19 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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