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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Stanley Snelson
University of Chicago
Title: Weak harmonic map flows with singular targets

Abstract: We discuss heat flow constructions from Euclidean domains into non-smooth spaces. First, we describe a nonlocal constrained heat flow into a metric tree, which was originally motivated by a stationary eigenvalue partition problem. We prove spatial Lipschitz continuity and free interface regularity, and characterize the limit of the flow as time goes to infinity as a stationary solution of the partition problem. Next, we discuss ongoing work regarding the extension of this study to non-constrained heat flows into F-connected simplicial complexes, which are natural generalizations of trees to higher dimensions.

Date: Tuesday, December 1, 2015
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  Ian Tice