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09-04【徐丽平】管楼1418吴文俊数学重点实验室之概率统计系列报告

澳门新葡新京:系统管理员发布时间:2019-09-01浏览次数:8


TitleUniqueness for the  Boltzmann equation with moderately soft potentials
Speaker徐丽平   (University of Washington, Seattle
Time2019年9月4日(周三)       下午  16:30-17:30
Room东区管理科研楼   澳门新葡新京1418室

AbstractIn 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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