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

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 gradie...

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Bibliographic Details
Main Author: Kevin Santugini-Repiquet
Format: Article
Language:English
Published: Texas State University 2007-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2007/141/abstr.html