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arXiv · 1402.6471

Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energie

Gilles Carbou·Pierre Fabrie·Kévin Santugini-Repiquet
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Abstract

We study the Landau-Lifshitz system associated with Maxwell equations in a bilayered ferromagnetic body when super-exchange and surface anisotropy interactions are present in the spacer in-between the layers. In the presence of these surface energies, the Neumann boundary condition becomes nonlinear. We prove, in three dimensions, the existence of global weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions.

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Gilles Carbou, Pierre Fabrie, Kévin Santugini-Repiquet. 2014-02-26. Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energie. https://arxiv.org/abs/1402.6471

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