Weak solutions to the Landau-Lifshitz-Maxwell system with nonlinear   Neumann boundary conditions arising from surface energie
  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. 
Gilles Carbou (LMAP), Pierre Fabrie (IMB), K\'evin Santugini-Repiquet   (IMB, INRIA Bordeaux - Sud-Ouest)
math.AP