Weak solutions of the Landau–Lifshitz–Bloch equation

Kim Ngan Le

doi:10.1016/j.jde.2016.09.002

Weak solutions of the Landau–Lifshitz–Bloch equation

Kim Ngan Le

Research output: Contribution to journal › Article › Research › peer-review

33 Citations (Scopus)

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.

Original language	English
Pages (from-to)	6699-6717
Number of pages	19
Journal	Journal of Differential Equations
Volume	261
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2016.09.002
Publication status	Published - 15 Dec 2016
Externally published	Yes

Keywords

Ferromagnetism
Landau–Lifshitz–Bloch
Quasilinear parabolic equation

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10.1016/j.jde.2016.09.002

Cite this

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KW - Quasilinear parabolic equation

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Weak solutions of the Landau–Lifshitz–Bloch equation

Abstract

Keywords

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