Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energie - Archive ouverte HAL Access content directly
Journal Articles Electronic Journal of Differential Equations Year : 2015

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

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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Dates and versions

hal-00951318 , version 1 (25-02-2014)

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Gilles Carbou, Pierre Fabrie, Kévin Santugini-Repiquet. Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energie. Electronic Journal of Differential Equations, 2015. ⟨hal-00951318⟩
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