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Article Dans Une Revue Electronic Journal of Differential Equations Année : 2007

Regularity on the boundary of weak solutions to the Landau- Lifshitz equation

Résumé

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.
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Dates et versions

hal-00336626 , version 1 (04-11-2008)

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  • HAL Id : hal-00336626 , version 1

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Kévin Santugini-Repiquet. Regularity on the boundary of weak solutions to the Landau- Lifshitz equation. Electronic Journal of Differential Equations, 2007, 141, pp.1-9. ⟨hal-00336626⟩
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