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Nonlinear Analysis

Defects in heat flows of harmonic maps

Fanghua Lin, Courant Institute

Location:  Link: Meeting ID: 992 8122 5008
Date & time: Wednesday, 11 November 2020 at 9:30AM - 10:30AM

Abstract: Starting with Struve's solution of the heat flow harmonic maps from a surface, we shall discuss several model heat flow problems for maps and its associated singularities. In case there are time or energy scale separations, one can often derive dynamical laws for singularities (energy concentration sets). There are challenging open problems when such scale separation don't exist such as defect motion in 3D liquid crystal evolutions or coupled flows of sharp interfaces and phase-valued maps in models of fast reaction--slow diffusion described by Keller-Rubinstein-Steinberg.

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