Abstract: In this talk we first consider a nonlocal-to-local approximation of ex-change energy functionals in Micromagnetics, extending the well-known Bourgain-Brezis-Mironescu formula in order to encompass the scenario where antisym-metric contributions are encoded. The keypoints are a pointwise convergence result and a Γ-convergence argument, obtaining as byproduct a formal justification of the so-called Dzyaloshinskii-Morya interaction term. In the second part of the talk, we focus on the existence of minimizers. In the spirit of the so-called Brown’s Fundamental Theorem, we show a characterization of mini-mizers through a size-dependence on the domain.
This is joint work with E. Davoli, G. Di Fratta and L. Lombardini.
Nonlocal-to-local analysis of energies in micromagnetics
28.10.2024 15:30 - 16:30
Organiser:
Vienna School of Mathematics
Location:
TUForMath Room, Freihaus, TU Wien, Wiedner Hauptstraße 8-10