Well-posedness of the ferrimagnetic equations |
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| Authors: | Boling Guo |
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| Affiliation: | a Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, China
b The Graduate School of China Academy of Engineering Physics, PO Box 2101, Beijing 100088, China |
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| Abstract: | In this paper, we show the existence of global weak solutions of the ferrimagnetic equations on compact Riemannian manifold using the penalty method. We also show the uniqueness of the solution and its well-posedness by the energy estimates method in lower dimensions. In particular, when the space dimension is one, we can prove that the problem is globally well-posed. |
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| Keywords: | Ferrimagnetic equation Penalty method Well-posedness Weak solutions Contraction mapping principle |
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