Selfsimilar expanders of the harmonic map flow

Pierre Germain, Melanie Rupflin

Research output: Contribution to journalArticlepeer-review

Abstract

We study the existence, uniqueness, and stability of self-similar expanders of the harmonic map heat flow in equivariant settings. We show that there exist selfsimilar solutions to any admissible initial data and that their uniqueness and stability properties are essentially determined by the energy-minimising properties of the so-called equator maps.

Original languageEnglish (US)
Pages (from-to)743-773
Number of pages31
JournalAnnales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume28
Issue number5
DOIs
StatePublished - 2011

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Applied Mathematics

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