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Asymptotics for Nonlinear Geometric PDEs

The harmonic map flow revisited

speaker: Peter Topping (University of Warwick)

abstract: The harmonic map flow of Eells and Sampson is a gradient flow of the harmonic map energy of a map between Riemannian manifolds, which tries to flow to harmonic maps. The critical case is when the domain is two-dimensional. I will describe another gradient flow on the same energy, which is adapted to find minimal surfaces. I will survey what has been done over the last few years, and sketch some forthcoming work on the large time asymptotics. Joint work with Melanie Rupflin and others.


timetable:
Tue 4 Nov, 15:00 - 15:50, Aula Dini
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