Oberseminar Mathematik in den Naturwissenschaften: Dirk Praetorius, Chiral magnetic skyrmions and computational micromagnetism
|Date:||06/12/2020, 1:30 PM - 2:15 PM|
|Organizer:||Lehrstuhl für Mathematik VI (Mathematik in den Naturwissenschaften)|
via Zoom video conference (request the Zoom link from email@example.com).
We consider the numerical approximation of the Landau-Lifshitz-Gilbert equation (LLG), which describes the dynamics of the magnetization in ferromagnetic materials. In addition to the classical micromagnetic contributions, the energy comprises the Dzyaloshinskii-Moriya interaction (DMI), which is the most important ingredient for the enucleation and the stabilization of chiral magnetic skyrmions. Besides convergent tangent plane integrators, the talk also discusses weak-strong uniqueness of solutions as well as a reduced thin-film model, which is particularly interesting for computations.
The talk is based on joint work, in particular, with Giovanni Di Fratta, Michael Innerberger, Carl-Martin Pfeiler, and Michele Ruggeri.