报告人：何凌冰（清华大学）

邀请人：雷远杰

报告时间：2021年1月21日（星期四）14:10-16:10

报告地点：腾讯会议ID：232 474 501

报告题目：A new monotonicity formula for the spatially homogeneous Landau equation with Coulomb potential and its applications

报告摘要：In this talk, we describe a time-dependent functional involving the relative entropy and the $\dot{H}^1$ seminorm, which decreases along solutions to the spatially homogeneous Landau equation with Coulomb potential. The study of this monotone functionial sheds light on the competition between the dissipation and the nonlinearity for this equation. It enables to obtain new results concerning regularity/blowup issues for the Landau equation with Coulomb potential. The talk is based on the joint work with L.Desvillettes and J.-C.Jiang.

报告人简介：何凌冰，博士，清华大学数学科学学院教授、博士生导师。主要研究方向为Boltzmann方程及Landau方程解的正则性传播和渐进性行为。论文发表在Ann. Sci. Éc. Norm. Supér.、Ann. PDE、ARMA、CMP等国际著名杂志上。