The Landau-Lifshitz equation of the ferromagnetic spin chain and Oseen-Frank flow
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🧮 math.AP
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chainenergyequationferromagneticlandau-lifshitzoseen-frankspinconsider
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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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