报告人：刘吕桥

报告时间：2022年5月12日， 15:00-17:00

报告地点：腾讯会议 350-222-860

报告题目: Gevrey regularity of mild solutions to the non-cutoff Boltzmann equation

摘要: In this talk, for the Cauchy problem on the non-cutoff Boltzmann equation in torus, we establish the global-in-time Gevrey smoothness in velocity and space variables for a class of low-regularity mild solutions near Maxwellians with the Gevrey index depending only on the angular singularity.For the proof we treat in a subtle way the commutator between the regularization operators and the Boltzmann collision operator involving rough coefficients, and this enables us to combine the classical Hörmander’s hypoelliptic techniques together with the global symbolic calculus established for the linearized Boltzmann operator so as to improve the regularity of solutions at positive time.

报告人介绍：刘吕桥，安徽师范大学葡京新集团350入口讲师。本科毕业于安徽师范大学，2020年博士毕业于武汉大学，香港中文大学博士后。曾访问法国巴黎十二大的Raphaël Danchin教授。

主要研究方向为Boltzmann方程，曾获第四届全国PDE博士生论坛优秀论文提名奖，在Adv. Math., J. Differential Equations, J. Math. Fluid Mech. 等高水平期刊发表SCI学术论文多篇。