Propagation of Moments and Sharp Convergence Rate for Inhomogeneous Non-cutoff Boltzmann Equation with Soft Potentials
发布时间：2022年04月14日
浏览次数：4136
发布者: He Liu
主讲人： Jie JI (Tsinghua Unviersity)
活动时间： 从 2022-04-28 16:00 到 17:30
场地： 北京国际数学研究中心，全斋全29教室
We prove the well-posedness for the non-cutoff Boltzmann equation with soft potentials 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 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.
