Title：Uniqueness for the Boltzmann equation with moderately soft potentials
Speaker：徐丽平 （University of Washington, Seattle）
Time：2019年9月4日（周三） 下午 16:30-17:30
Room：东区管理科研楼 0029cc金沙贵宾会1418室
Abstract：In this talk, I will show you how we prove a strong/weak stability estimate for the 3D homogeneous Boltzmann equation with moderately soft potentials ($/gamma/in(-1,0)$) using the Wasserstein distance with quadratic cost. This in particular implies the uniqueness in the class of all weak solutions, assuming only that the initial condition has a finite entropy and a finite moment of sufficiently high order. The main idea is that we associate the weak solution of the Boltzmann equation with a pure jump Markov process which is a weak solution of a SDE.
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