Calculus of Variations and Geometric Measure Theory
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M. Morini - C. Muratov - M. Novaga - V. Slastikov

Transverse domain walls in thin ferromagnetic strips

created by novaga on 02 Jun 2021
modified on 03 Jun 2021


Submitted Paper

Inserted: 2 jun 2021
Last Updated: 3 jun 2021

Year: 2021

ArXiv: 2106.01338 PDF


We present a characterization of the domain wall solutions arising as minimizers of an energy functional obtained in a suitable asymptotic regime of micromagnetics for infinitely long thin film ferromagnetic strips in which the magnetization is forced to lie in the film plane. For the considered energy, we provide existence, uniqueness, monotonicity, and symmetry of the magnetization profiles in the form of 180$^\circ$ and 360$^\circ$ walls. We also demonstrate how this energy arises as a $\Gamma$-limit of the reduced two-dimensional thin film micromagnetic energy that captures the non-local effects associated with the stray field, and characterize its respective energy minimizers.


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