Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional

Bo Chen; Youde Wang

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arXiv · 2001.05628

Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional

Bo Chen·Youde Wang

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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 $n$-dimensional Euclidean domain $\Om$ or a $n$-dimensional closed Riemannian manifold $M$ into a 2-dimensional unit sphere $\U^{2}$. Our conclusions extend a series of related results obtained in the previous literature.

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Bo Chen, Youde Wang. 2020-01-16. Global weak solutions for Landau-Lifshitz flows and heat flows associated to micromagnetic energy functional. https://arxiv.org/abs/2001.05628

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