Existence and Partial Regularity Results for the Heat Flow for Harmonic Maps.
Michael Struwe, Yunmei Chen (1989)
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Jiayu Li (1993)
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We build corotational symmetric solutions to the harmonic map flow from the unit disc into the unit sphere which have constant degree. First, we prove the existence of such solutions, using a time semi-discrete scheme based on the idea that the harmonic map flow is the L-gradient of the relaxed Dirichlet energy. We prove a partial uniqueness result concerning these solutions. Then, we compute numerically these solutions by a moving-mesh method which allows us to deal with the singularity...
J.-M. Coron (1990)
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Valery Marenich (1993)
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