Ginzburg-Landau vortices driven by the Landau-Lifshitz equation

  • Roger Moser (University of Bath)
A3 01 (Sophus-Lie room)


A simplified model for the energy of the magnetization of a thin ferromagnetic film gives rise to a version of the theory of Ginzburg-Landau vortices for sphere-valued maps. In particular we have the development of vortices as a certain parameter tends to 0. The dynamics of the magnetization is ruled by the Landau-Lifshitz-Gilbert equation, which combines characteristic properties of a nonlinear Schrödinger equation and a gradient flow. We study the motion of the vortex centres under this evolution equation.

This is a joint work with Matthias Kurzke (University of Bonn), Christof Melcher (RWTH Aachen), and Daniel Spirn (University of Minnesota).

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of this Seminar