Nash inequalities and boundary behavior of kinetic equations
数学专题报告
报告题目(Title)：Nash inequalities and boundary behavior of kinetic equations
报告人(Speaker)：Christopher Henderson (University of Arizona)
地点(Place)：Zoom ID: 960 3968 5429, PWD: 096885
时间(Time)：2025 年 4月 11日 9：30-10：30
邀请人(Inviter)：熊金钢
报告摘要
Kinetic equations model systems, such as a gas, where particles move through space according to a velocity that is diffusing (due to, say, collisions with other particles). The presence of spatial boundaries in these models causes technical issues because they are first order in the spatial variable and therefore cannot be defined everywhere on the boundary. In this talk, I will present $L^1-L^\infty$ estimates that yield sharp bounds on the behavior at the spatial boundary. The main estimate is a kinetic version of the Nash inequality. This is a joint work with Giacomo Lucertini and Weinan Wang.
* This PDE seminar is co-organized with Tianling Jin at HKUST and Juncheng Wei at CUHK. See the seminar webpage: https://www.math.hkust.edu.hk/~tianlingjin/PDEseminar.html
