Kevin Santugini-Repiquet
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.
Submitted July 18, 2005. Published October 24, 2007.
Math Subject Classifications: 35D10, 35K55, 35K60.
Key Words: Micromagnetism; Landau-Lifshitz equation; weak solutions;
boundary regularity.
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| Kévin Santugini-Repiquet Institut Mathématique de Bordeaux Université Bordeaux 1 351 cours de la libération 33405 Talence Cedex, France email: Kevin.Santugin@math.u-bordeaux1.fr http://www.unige.ch/~santugin |
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