Global Smooth Solutions for the 2-Dimensional Landau-Lifshitz Equations coupled with Darwin model with Small Initial Data

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Global Smooth Solutions for the 2-Dimensional Landau-Lifshitz Equations coupled with Darwin model with Small Initial Data[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).

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Global Smooth Solutions for the 2-Dimensional Landau-Lifshitz Equations coupled with Darwin model with Small Initial Data[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).

Citation:

Global Smooth Solutions for the 2-Dimensional Landau-Lifshitz Equations coupled with Darwin model with Small Initial Data[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).

Global Smooth Solutions for the 2-Dimensional Landau-Lifshitz Equations coupled with Darwin model with Small Initial Data

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The local existence of smooth solution with the periodic initial value condition is firstly obtained by using Galerkin method. Based on it, the global existence of the smooth solution with small initial data is further derived by making a priori estimate globally in time.

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Global Smooth Solutions for the 2-Dimensional Landau-Lifshitz Equations coupled with Darwin model with Small Initial Data

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