报告题目 (Title)：三维非截断玻尔兹曼方程的低正则性整体解
报告人 (Speaker)：段仁军 教授 (香港中文大学)
报告时间 (Time)：2023年7月19日（周三） 10:00 -12:00
报告地点 (Place)：线上 （腾讯会议 ID： 128 110 896）
邀请人(Inviter)：朱佩成 教授
主办部门：永利数学系
报告摘要： A class of low-regularity solutions via the Wiener algebra for the non-cutoff Boltzmann equation on the torus was previously introduced in collaboration with Liu, Sakamoto and Strain. In the talk, I will further report how to extend the result to the case of the whole space. In this case, we develop an L1-L∞ interplay technique in the Fourier space to overcome the weaker macroscopic dissipation due to diffusion phenomenon in contrast to the torus case. The key is to employ time-weighted estimates motivated from viscous conservation laws. Joint work with Shota Sakamoto and Yoshihiro Ueda.
