Santugini-Repiquet, Kevin2021-08-182021-08-182007-10-24Santugini-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. 1-9.1072-6691https://hdl.handle.net/10877/14355In 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.Text12 pages1 file (.pdf)enAttribution 4.0 InternationalMicromagnetismLandau-Lifshitz equationWeak solutionsBoundary regularityArticle