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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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Official URL: http://dx.doi.org/10.1016/j.anihpc.2011.06.004
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 | ||||
| Dates: |
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| 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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