

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 .
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.