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

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

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 nonli...

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Bibliographic Details
Main Authors: Gilles Carbou, Pierre Fabrie, Kevin Santugini
Format: Article
Language:English
Published: Texas State University 2015-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Ferromagnetism
Micromagnetism
surface energy
Landau-Lifshitz-Maxwell equation
nonlinear PDE
Online Access:http://ejde.math.txstate.edu/Volumes/2015/55/abstr.html
Description
Summary: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.
ISSN:1072-6691

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