Abstract
We analyse finite-time singularities of the Teichmüller harmonic map flow — a natural gradient flow of the harmonic map energy — and find a canonical way of flowing beyond them in order to construct global solutions in full generality. Moreover, we prove a no-loss-of-topology result at finite time, which completes the proof that this flow decomposes an arbitrary map into a collection of branched minimal immersions connected by curves.
Citation
Melanie Rupflin. Peter M. Topping. "Global weak solutions of the Teichmüller harmonic map flow into general targets." Anal. PDE 12 (3) 815 - 842, 2019. https://doi.org/10.2140/apde.2019.12.815
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