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Global Weak Solutions to the Landau-Lifshitz System in 3D

dc.creatorFang, Daoyuan
dc.creatorLi, Tailong
dc.date2006-08-01
dc.date.accessioned2019-05-03T12:36:47Z
dc.date.available2019-05-03T12:36:47Z
dc.identifierhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1600
dc.identifier.urihttp://revistaschilenas.uchile.cl/handle/2250/84328
dc.descriptionBy 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 ℝ3 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. en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttp://revistas.ufro.cl/ojs/index.php/cubo/article/view/1600/1453
dc.sourceCUBO, A Mathematical Journal; Vol. 8 Núm. 2 (2006): CUBO, A Mathematical Journal; 1-21es-ES
dc.sourceCUBO, A Mathematical Journal; Vol 8 No 2 (2006): CUBO, A Mathematical Journal; 1-21en-US
dc.source0719-0646
dc.source0716-7776
dc.titleGlobal Weak Solutions to the Landau-Lifshitz System in 3Den-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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