Moving boundary vortices for a thin-film limit in micromagnetics
Roger Moser · Communications on Pure and Applied Mathematics · 2004
We study the limiting behavior of solutions of the Landau-Lifshitz-Gilbert equation belonging to thin films of ferromagnetic materials. In the appropriate time scale and under reasonable conditions, there is a subsequence converging to a map that has vortices at two boundary points. The vortices move Hölder-continuously in time, and the map satisfies a formal Euler-Lagrange equation away from the vortices. © 2004 Wiley Periodicals, Inc.