Preprint 106/2007

Regularity of domain walls in magnetic nanowires

Katharina Kühn

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Submission date: 13. Dec. 2007
Pages: 34
Bibtex
MSC-Numbers: 47J30, 82D40
Keywords and phrases: micromagnetism, regularity
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Abstract:
This paper investigates regularity properties of energy minimising 180 degree domain walls in magnetic nanowires. For small radii we prove uniform bounds in formula6. Uniform bounds imply convergence in strong norms and are important for the step from statics to dynamics. First we show the convergence of minimisers in formula8 and a bound on the rate of convergence of the minimal energies. Then we use the notion of almost minimisers to prove formula10 estimates and the Morrey-Campanato approach to get uniform formula6 estimates.

07.06.2018, 02:11