Oberseminar Mathematik in den Naturwissenschaften: Dirk Praetorius, Chiral magnetic skyrmions and computational micromagnetism

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.