Solutions to the Landau-Lifshitz system with nonhomoge- nous Neumann boundary conditions arising from surface anisotropy and super-exchange interactions in a ferromagnetic media.
Résumé
We study the solutions to the Landau–Lifshitz system in a bilayered ferromagnetic body when super- exchange and surface anisotropy interactions are present at the interface between the layers. We prove the existence of weak solutions in infinite time and strong solutions in finite time.