One-dimensional Néel walls under applied external fields

Milena Chermisi, Cyrill B. Muratov

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

We present a detailed analysis of one-dimensional Néel walls in thin uniaxial ferromagnetic films in the presence of an in-plane applied external field in the direction normal to the easy axis. Within the reduced one-dimensional thin film model, we formulate a non-local variational problem whose minimizers are given by one-dimensional Néel wall profiles. We prove existence, uniqueness (up to translations and reflections), regularity, strict monotonicity and the precise asymptotics of the decay of the minimizers in the considered variational problem.

Original languageEnglish (US)
Pages (from-to)2935-2950
Number of pages16
JournalNonlinearity
Volume26
Issue number11
DOIs
StatePublished - Nov 2013

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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