Sobolev-subcritical fast diffusion with vanishing boundary condition leads to

finite-time extinction, with a vanishing profile selected by the initial datum. In a joint

work with R. McCann and C. Seis, we quantify the rate of convergence to this profile for

general smooth bounded domains. In rescaled time variable, the solution either converges

exponentially fast or algebraically slow. In the first case, the nonlinear dynamics are

well-approximated by exponentially decaying eigenmodes, giving a higher order

asymptotics. We also improve on a result of Bonforte and Figalli, by providing a new and

simpler approach which is able to accommodate the presence of zero modes.

10月14日
9:00am - 10:00am
地點
https://hkust.zoom.us/j/95235544779 (Passcode: 991961)
講者/表演者
Prof. Beom jun Choi
POSTECH, South Korea
主辦單位
Department of Mathematics
聯絡方法
付款詳情
對象
Alumni, Faculty and staff, PG students, UG students
語言
英語
其他活動
3月24日
研討會, 演講, 講座
IAS / School of Science Joint Lecture - Pushing the Limit of Nonlinear Vibrational Spectroscopy for Molecular Surfaces/Interfaces Studies
Abstract Surfaces and interfaces are ubiquitous in Nature. Sum-frequency generation vibrational spectroscopy (SFG-VS) is a powerful surface/interface selective and sub-monolayer sensitive spect...
11月22日
研討會, 演講, 講座
IAS / School of Science Joint Lecture - Leveraging Protein Dynamics Memory with Machine Learning to Advance Drug Design: From Antibiotics to Targeted Protein Degradation
Abstract Protein dynamics are fundamental to protein function and encode complex biomolecular mechanisms. Although Markov state models have made it possible to capture long-timescale protein co...