The Stability of Localized Solutions of Landau-Lifshitz Equations

Stephen Gustafson, Jalal Shatah

Research output: Contribution to journalArticle

Abstract

We study the Landau-Lifshitz equation of ferromagnetism on R2, with an easy-axis anisotropy. We establish the existence of topologically nontrivial, periodic solutions, and show they are stable against equivariant perturbations. Along the way, we establish the global well-posedness of the Cauchy problem for a class of data with no size restriction.

Original languageEnglish (US)
Pages (from-to)1136-1159
Number of pages24
JournalCommunications on Pure and Applied Mathematics
Volume55
Issue number9
DOIs
StatePublished - Sep 2002

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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