Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energie
Analysis of PDEs
2014-02-27 v1
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.
Keywords
Cite
@article{arxiv.1402.6471,
title = {Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear Neumann boundary conditions arising from surface energie},
author = {Gilles Carbou and Pierre Fabrie and Kévin Santugini-Repiquet},
journal= {arXiv preprint arXiv:1402.6471},
year = {2014}
}