Regularity of weak solutions to the Landau-Lifshitz system in bounded regular domains
Date
2007-10-24
Authors
Santugini-Repiquet, Kevin
Journal Title
Journal ISSN
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.
Rights
Attribution 4.0 International