Selfsimilar expanders of the harmonic map flow |
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| Authors: | Pierre GermainMelanie Rupflin |
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| Institution: | a Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY, USA
b Warwick Mathematics Institute, University of Warwick, Coventry, United Kingdom |
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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. |
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