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

Date

2007-10-24

Authors

Santugini-Repiquet, Kevin

Journal Title

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Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

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.

Description

Keywords

Micromagnetism, Landau-Lifshitz equation, Weak solutions, Boundary regularity

Citation

Santugini-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.

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Attribution 4.0 International

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