Global Weak Solutions to the Landau-Lifshitz System in 3D
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Daoyuan Fang
dyf@zju.edu.cn
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Tailong Li
m9845@163.com
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Abstract
By considering a general form of the Landau-Lifshitz equation under the influence of a homogeneous external magnetic fields, we prove that for a ferromagnetic body which occupies a bounded domain Ω in â„3 there exists a global weak solution either for the Dirichlet problem or for the Neumann problem. Although there is, in general, non-uniqueness result for the Landau-Lifshitz equation, the uniqueness result for the dynamic equation with constant initial data, which connects with the ground state of the magnetization in physical meanings, is pointed out.
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Published
2006-08-01
How to Cite
[1]
D. Fang and T. Li, “Global Weak Solutions to the Landau-Lifshitz System in 3D”, CUBO, vol. 8, no. 2, pp. 1–21, Aug. 2006.
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