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Motion of vortices in thin magnetic films

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If you have a question about this talk, please contact Andrew Morris.

The dynamical behaviour of magnetic materials is usually described by the Landau-Lifshitz-Gilbert equation, a hybrid between the Schrödinger map equation and the harmonic map heat flow. In some parameter regimes, the magnetisation develops vortex-like singularities (at the boundary or in the interior). In the talk, I will discuss how one can reduce the PDE dynamics of the material to ODE dynamics for the vortex positions.

This talk is part of the Analysis seminar series.

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