Static Theory for Planar Ferromagnets and Antiferromagnets

Research output: Contribution to journalArticle

Abstract

Here we generalize the "BBH"-asymptotic analysis to a simplified mathematical model for the planar ferromagnets and antiferromagnets. To develop such a static theory is a necessary step for a rigorous mathematical justification of dynamical laws for the magnetic vortices formally derived in [1] and [2].

Original languageEnglish (US)
Pages (from-to)541-580
Number of pages40
JournalActa Mathematica Sinica, English Series
Volume17
Issue number4
DOIs
StatePublished - Oct 2001

Keywords

  • Ginzburg-Landau-type equations
  • Gradient estimate
  • Minimizing harmonic maps
  • Quantization
  • Radial solutions
  • Stability
  • Vortices

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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