Regularity of weak solutions to the Landau-Lifshitz system in bounded regular domains

dc.contributor.authorSantugini-Repiquet, Kevin
dc.date.accessioned2021-08-18T13:12:15Z
dc.date.available2021-08-18T13:12:15Z
dc.date.issued2007-10-24
dc.description.abstractIn this paper, we study the regularity, on the boundary, of weak solutions to the Landau-Lifshitz system in the framework of the micromagnetic model in the quasi-static approximation. We establish the existence of global weak solutions to the Landau-Lifshitz system whose tangential space gradient on the boundary is square integrable.
dc.description.departmentMathematics
dc.formatText
dc.format.extent12 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSantugini-Repiquet, K. (2007). Regularity of weak solutions to the Landau-Lifshitz system in bounded regular domains. <i>Electronic Journal of Differential Equations, 2007</i>(141), pp. 1-9.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14355
dc.language.isoen
dc.publisherTexas State University-San Marcos, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectMicromagnetism
dc.subjectLandau-Lifshitz equation
dc.subjectWeak solutions
dc.subjectBoundary regularity
dc.titleRegularity of weak solutions to the Landau-Lifshitz system in bounded regular domains
dc.typeArticle

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