Center for Nonlinear Analysis
CNA Home
People
Seminars
Publications
Workshops and Conferences
CNA Working Groups
CNA Comments Form
Summer Schools
Summer Undergraduate Institute
PIRE
Cooperation
Graduate Topics Courses
SIAM Chapter Seminar
Positions
Contact |
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.Recording: http://mm.math.cmu.edu/recordings/cna/stanley_snelson_small.mp4Date: Tuesday, December 1, 2015Time: 1:30 pmLocation: Wean Hall 7218Submitted by: Ian Tice |