Search
Talk

Boundary Vortices in Micromagnetics

  • Radu Ignat (Institut de Mathématiques de Toulouse, France)
A3 01 (Sophus-Lie room)

Abstract

We study the asymptotic behavior of boundary vortices and their interaction energy in a certain regime of thin-film micromagnetics. The key tool relies on the notion of “boundary Jacobian" which detects the topological defects at the boundary. The concentration of the energy around boundary vortices is proven via a Gamma-convergence result and we determine the renormalized energy that represents the interaction between the boundary vortices leading to their optimal position. The major difficulty consists in estimating the nonlocal part of the micromagnetic energy generated by the static Maxwell equation in order to detect the exact terms corresponding to the topological defects.

This is a joint work with Matthias Kurzke (Nottingham).

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

Upcoming Events of This Seminar

  • Mar 12, 2024 tba with Theresa Simon
  • Mar 26, 2024 tba with Phan Thành Nam
  • Mar 26, 2024 tba with Dominik Schmid
  • May 7, 2024 tba with Manuel Gnann
  • May 14, 2024 tba with Barbara Verfürth
  • May 14, 2024 tba with Lisa Hartung
  • Jun 25, 2024 tba with Paul Dario
  • Jul 16, 2024 tba with Michael Loss