Gilles Carbou, Pierre Fabrie, Kevin Santugini
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.
Submitted June 4, 2014. Published February 26, 2015.
Math Subject Classifications: 35D30, 35F31, 35Q61.
Key Words: Ferromagnetism; Micromagnetism; surface energy;
Landau-Lifshitz-Maxwell equation; nonlinear PDE.
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| Gilles Carbou Université de Pau et des Pays de l'Adour LMAP, UMR CNRS 5142, F-64000 Pau, France email: gilles.carbou@univ-pau.fr | |
| Pierre Fabrie Bordeaux INP, IMB, UMR 5251, F-33400 Talence, France email: Pierre.Fabrie@math.u-bordeaux1.fr | |
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Kévin Santugini Bordeaux INP, IMB, UMR 5251, F-33400 Talence, France email: Kevin.Santugini@math.u-bordeaux1.fr |
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