The inviscid limit for the Landau-Lifshitz-Gilbert equation in the critical Besov space |
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Authors: | ZiHua Guo ChunYan Huang |
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Affiliation: | 1.School of Mathematical Sciences,Monash University,Melbourne,Australia;2.School of Statistics and Mathematics,Central University of Finance and Economics,Beijing,China |
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Abstract: | We prove that in dimensions three and higher the Landau-Lifshitz-Gilbert equation with small initial data in the critical Besov space is globally well-posed in a uniform way with respect to the Gilbert damping parameter. Then we show that the global solution converges to that of the Schrödinger maps in the natural space as the Gilbert damping term vanishes. The proof is based on some studies on the derivative Ginzburg-Landau equations. |
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