Deutsch Intern
    Institute of Mathematics

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

    Date: 06/12/2020, 1:30 PM - 2:15 PM
    Category: Seminar, Veranstaltung
    Organizer: Lehrstuhl für Mathematik VI (Mathematik in den Naturwissenschaften)
    Speaker: Dirk Praetorius

    via Zoom video conference (request the Zoom link from anja.schloemerkemper@mathematik.uni-wuerzburg.de).


    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.