Some new results for the multidimensional Landau-Lifshitz equations |
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| Authors: | Chunlai Mu Yonghong Wu |
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| Institution: | a College of Mathematics and Physics, Chongqing University, Chongqing 400044, PR China
b Department of Mathematics and Statistics, Curtin University of Technology, Perth, 6845 WA, Australia |
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| Abstract: | In this Letter, we study the multidimensional Landau-Lifshitz equations for two cases of external magnetic fields depending on both time and position, and obtain some new interesting results. For the strong degenerate Landau-Lifshitz equation, we obtain a new blow up solution. |
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| Keywords: | Multidimensional Landau-Lifshitz equation Global smooth solution Blow-up solution |
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