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
9am - 10am
地点
https://hkust.zoom.us/j/95235544779 (Passcode: 991961)
讲者/表演者
Prof. Beom jun Choi
POSTECH, South Korea
POSTECH, South Korea
主办单位
Department of Mathematics
联系方法
付款详情
对象
Alumni, Faculty and staff, PG students, UG students
语言
英语
其他活动
6月21日
研讨会, 演讲, 讲座
IAS / School of Science Joint Lecture - Alzheimer’s Disease is Likely a Lipid-disorder Complication: an Example of Functional Lipidomics for Biomedical and Biological Research
Abstract
Functional lipidomics is a frontier in lipidomics research, which identifies changes of cellular lipidomes in disease by lipidomics, uncovers the molecular mechanism(s) leading to the chan...
5月24日
研讨会, 演讲, 讲座
IAS / School of Science Joint Lecture - Confinement Controlled Electrochemistry: Nanopore beyond Sequencing
Abstract
Nanopore electrochemistry refers to the promising measurement science based on elaborate pore structures, which offers a well-defined geometric confined space to adopt and characterize sin...