On the nonexistence of finite time bubble trees in symmetric harmonic map heat flows from the disk to the 2-sphere |
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Authors: | Rein van der Hout |
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Affiliation: | Mathematical Institute, University of Leiden, P.O.B. 9512, NL 2300 RA Leiden, The Netherlands |
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Abstract: | Let and be the unit disk and the unit sphere, and let be a radially symmetric harmonic map heat flow, whose singularities coincide with downward energy jumps. Then its finite time singularities are simple in the sense that precisely one harmonic sphere separates at a time. |
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Keywords: | Harmonic map Heat flow Symmetry Blow-up Bubble tree |
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