Friday, May 4, 2018 - 14:15 in D5-153
Stable self-similar blowup in supercritical heat flows
A talk in the Oberseminar Analysis series by
Birgit Schörkhuber from KIT
| Abstract: |
We consider two geometric evolution equations: The heat flow of harmonic maps from $\mathbb{R}^{3}$ into the three-sphere and the heat equation for Yang-Mills connections on $\mathbb{R}^5 \times SO(5)$. Both problems are studied in the equivariant setting, where the evolution equations reduce to single semi-linear heat equations. Both models are energy supercritical and finite-time blowup is known to occur. In this talk, we discuss recent results on the nonlinear asymptotic stability of particular self-shrinkers that were obtained in joint work with Roland Donninger (University of Vienna) and Pawel Biernat (University of Bonn).
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