Selfsimilar expanders of the harmonic map flow

Pierre Germain, Melanie Rupflin

Research output: Contribution to journalArticle

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. Annales: Analyse Non Lineaire/Nonlinear Analysis
Volume28
Issue number5
DOIs
StatePublished - Sep 2011

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Expander
Harmonic Maps
Equator
Self-similar Solutions
Heat Flow
Equivariant
Existence and Uniqueness
Uniqueness
Heat transfer
Energy

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics

Cite this

Selfsimilar expanders of the harmonic map flow. / Germain, Pierre; Rupflin, Melanie.

In: Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis, Vol. 28, No. 5, 09.2011, p. 743-773.

Research output: Contribution to journalArticle

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