Selfsimilar expanders of the harmonic map flow
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2010
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Working Paper
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yes
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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 admissiable 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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Cornell University
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03239 - Struwe, Michael (emeritus) / Struwe, Michael (emeritus)
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Submitted on 29 October 2010.