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PDE Seminar Series
August 16 @ 10:30 am - 11:30 am
Professor Min-Chun Hong, University of Queensland
Finite-time blowup of the n-harmonic flow on n-manifolds
In this talk, we generalise the no-neck result of Qing-Tian to show that there is no neck during blowing up for the $n$-harmonic flow as $t \to \infty$. As an application of the no-neck result, we settle a conjecture of Hungerbuhler by constructing an example to show that the $n$-harmonic map flow on an $n$-dimensional Riemannian manifold blows up in finite time for $n \geq 3$.
Please let me know if you would like to join the lunch with the speaker after the talk.