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 . 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 and a bound on the rate of convergence of the minimal energies. Then we use the notion of almost minimisers to prove estimates and the Morrey-Campanato approach to get uniform estimates.