Partially regular solution to Landau-Lifshitz-Maxwell equations in two dimensions |
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| Authors: | Shijin Ding |
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| Institution: | School of Mathematical Sciences, South China Normal University, Guangzhou, Guangdong 510631, China |
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| Abstract: | The present paper is concerned with the existence, uniqueness and singularities of the Landau-Lifshitz equation coupled with Maxwell equations on Riemannian manifold in two dimensions. It is shown that there exists a weak solution which is regular with exception of at most finitely many singular points. |
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| Keywords: | Landau-Lifshitz equation Maxwell equations Existence and uniqueness Singularity |
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