TY - JOUR
T1 - Selfsimilar expanders of the harmonic map flow
AU - Germain, Pierre
AU - Rupflin, Melanie
N1 - Funding Information:
* Corresponding author. Tel.: +44 (0)2476150774. E-mail address: [email protected] (M. Rupflin). 1 Partially supported by the Swiss National Science Foundation and The Leverhulme Trust.
PY - 2011
Y1 - 2011
N2 - 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.
AB - 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.
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U2 - 10.1016/j.anihpc.2011.06.004
DO - 10.1016/j.anihpc.2011.06.004
M3 - Article
AN - SCOPUS:80052946720
SN - 0294-1449
VL - 28
SP - 743
EP - 773
JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
IS - 5
ER -