数学科学学院学术报告

--- 分析与偏微分方程讨论班(2024秋季第7讲)

3D hard sphere Boltzmann equation: explicit structure and the transition process 

from polynomial tail to Gaussian tail 

王海涛 (上海交通大学)

时间：11月15日（周五）下午15:00-16:00

地点：#腾讯会议：896-610-251     #会议密码：1115

#会议链接：https://meeting.tencent.com/dm/rTS2RIEzQ3rR

摘要: We study the Boltzmann equation with hard sphere in a near-equilibrium setting. The initial data is compactly supported in the space variable and has a polynomial tail in the microscopic velocity. We show that the solution can be decomposed into a particle-like part (polynomial tail) and a fluid-like part (Gaussian tail). The particle-like part decays exponentially in both space and time, while the fluid-like part dominates the long time behavior and exhibits rich wave motion. The nonlinear wave interactions in the fluid-like part are precisely characterized. Furthermore, the transition process from the polynomial to the Gaussian tail is quantitatively revealed.

邀请人：徐丽

欢迎大家参加！