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Selfsimilar expanders of the harmonic map flow

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Germain, Pierre and Rupflin, Melanie. (2011) Selfsimilar expanders of the harmonic map flow. Annales de l'Institut Henri Poincare (C) Non Linear Analysis , Vol.28 (No.5). pp. 743-773. ISSN 0294-1449

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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. (C) 2011 Elsevier Masson SAS. All rights reserved.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Publisher: Elsevier Masson
ISSN: 0294-1449
Official Date: 2011
Volume: Vol.28
Number: No.5
Number of Pages: 31
Page Range: pp. 743-773
Identification Number: 10.1016/j.anihpc.2011.06.004
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/39629

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