Existence of arbitrarily smooth solutions of the LLG equation in 3D with natural boundary conditions

2016/06/01 by Michael Feischl, Thanh Tran, Feischl, Michael +1
Mathematics · Engineering · Physics and Astronomy · #Advanced Mathematical Physics Problems #Stability and Controllability of Differential Equations #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1606.00086

Abstract

We prove that the Landau-Lifshitz-Gilbert equation in three space dimensions with homogeneous Neumann boundary conditions admits arbitrarily smooth solutions, given that the initial data is sufficiently close to a constant function.

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