09-27【曹楚琦】二教2304 偏微分方程系列报告

发布者:卢珊珊发布时间:2022-09-23浏览次数:10

题目: Propagation of moments and sharp convergence rate for Boltzmann equation


报告人:曹楚琦 (清华大学)


时间:9月27日 星期二下午16:00-17:00


地点:二教2304


摘要:In this talk, we will present  the well-posedness for the Boltzmann equation when the initial datum  is close to the  global Maxwellian and has only polynomial decay at the large velocities in L^2 space. As a result, we get the  propagation of the exponential moments and the sharp rates of the convergence to the global Maxwellian which seems the first results for the original equation with soft potentials. The proof lie in localized techniques, the semigroup method as well as the propagation of the polynomial and exponential  moments in L^2 space. This talk is partially based on the speaker’s joint work with Lingbing He and Jie Ji.