中科院数学与系统科学研究院

数学研究所

学术报告

调和分析和偏微分方程研讨班

报告人： 何凌冰 （清华大学）

题  目：Propagation of moments and sharp convergence rates for the non-cutoff Boltzmann equation with soft potentials

时  间：2022.06.14（星期二）17:00-18:00

地  点：腾讯会议 834-629-118

摘 要：We consider the well-posedness  for the  non-cutoff Boltzmann equation with soft potentials when the initial datum  is close to the  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   Maxwellian which seems the first results for the original equation with soft potentials. The new ingredients of the proof lie in localized techniques, the  semigroup method as well as the propagation of the polynomial and exponential  moments in   $L^2$ space.