Stable solutions to Landau-Lifshitz-Maxwell equations
Jian Zhai · Indiana University Mathematics Journal · 2005
We prove the existence of non-trivial stable solutions to Landau-Lifshitz-Maxwell equations with the Neumann boundary condition for large anisotropies and small domains, where the domains are non-simply connected and rotationally invariant around an axis. The Landau-Lifshitz-Maxwell equations describe ferromagnets including the demagnetizing field effect.