Regularity of weak solutions to the Landau-Lifshitz system in bounded regular domains
dc.contributor.author | Santugini-Repiquet, Kevin | |
dc.date.accessioned | 2021-08-18T13:12:15Z | |
dc.date.available | 2021-08-18T13:12:15Z | |
dc.date.issued | 2007-10-24 | |
dc.description.abstract | In 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.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 12 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Santugini-Repiquet, K. (2007). Regularity of weak solutions to the Landau-Lifshitz system in bounded regular domains. Electronic Journal of Differential Equations, 2007(141), pp. 1-9. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/14355 | |
dc.language.iso | en | |
dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2007, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
dc.subject | Micromagnetism | |
dc.subject | Landau-Lifshitz equation | |
dc.subject | Weak solutions | |
dc.subject | Boundary regularity | |
dc.title | Regularity of weak solutions to the Landau-Lifshitz system in bounded regular domains | |
dc.type | Article |