Seminars & Colloquia Calendar
Geometric Wave Equations and Random data
Sagun Chanillo - Rutgers University
Location: Hill Center Room 705
Date & time: Thursday, 24 February 2022 at 12:00PM - 1:00PM
Abstract: We will introduce two types of wave equations whose elliptic parts arise from Geometric problems, the problem of uniformization or prescribing Gauss Curvature on the 2-sphere, and the problem of prescribing Mean curvature for a surface. The corresponding elliptic equations have been studied by Moser, A. Chang and Paul Yang, H. Brezis and Coron. Next we study the initial value problem associated to the wave equation which has quadratic growth in the gradient. By randomizing the initial data in the spirit of J. Lebowitz, H. Rose and E. Speer, we manage to show all the iterates of the solutions exist. Previously it was known that even the first iterate blows up by an example of Zhou. This is joint work with M. Czubak, D. Mendelson, A. Nahmod and G. Staffiliani.
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Fanxin Wu and Nkhalo Malawo Organizer's website
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Lisa Carbone, Yi-Zhi Huang, James Lepowsky, Siddhartha Sahi Organizer's webpage
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Kasper Larsen, Daniel Ocone and Kim Weston Organizer's page
Joel Lebowitz, Michael Kiessling
Yanyan Li, Dennis Kriventsov Organizer's Webpage
Alex V. Kontorovich, Vlada Sedláček seminar website
Stephen D. Miller
Organizers: Yanyan Li, Z.C. Han, Jian Song, Natasa Sesum
Kristen Hendricks, Xiaochun Rong, Hongbin Sun, Chenxi Wu Organizer's page
Fioralba Cakoni Seminar webpage
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