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arXiv · 1602.07549

The Landau-Lifshitz equation of the ferromagnetic spin chain and Oseen-Frank flow

Xueke Pu·Meng Wang·Wendong Wang
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Abstract

In this paper, we consider the Landau-Lifshitz equation of the ferromagnetic spin chain from $\R^2$ to the unit sphere $S^2$ under the general Oseen-Frank energy. We obtain global existence and uniqueness of weak solutions for large energy data; moreover, the number of singular points is finite.

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Xueke Pu, Meng Wang, Wendong Wang. 2016-02-24. The Landau-Lifshitz equation of the ferromagnetic spin chain and Oseen-Frank flow. https://arxiv.org/abs/1602.07549

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