勷勤数学•领军学者报告

题      目：The Well/Illposedness Separation of the Boltzmann Equation

报  告  人： 陈旭文 教授  (邀请人：喻洪俊)

                                         美国罗切斯特大学

时      间： 4月29日  15：00-16:60

地     点：数科院东楼401

报告人简介:

        陈旭文教授，美国罗切斯特大学数学系教授，西蒙斯学者奖获得者，长期获得美国国家科学基金会（NSF）资助，主要从事量子多体问题、动理学方程等领域的偏微分方程的数学理论研究，学术成果发表于 Inventiones 

Mathematicae, Forum of Mathematics PI, Journal of the European Mathematical Society, Peking Mathematical Journal, Annals of PDE, Archive for Rational Mechanics and Analysis, Communications in Mathematical Physics 等国际顶级期刊。

摘      要：

         We study the well/ill-posedness of the Boltzmann equation with dispersive methods. We construct a family of special solutions, which are neither near equilibrium nor self-similar, and prove the ill-posedness in H^{s} Sobolev space for s<1, despite the fact that the equation is scale invariant at s=1/2. Combining with the previous wellposedness work, we have found that exact well/ill-posedness threshold. This talk is based on a constant collision kernel work, a soft collision kernel work, and a hardsphere collision kernel work.

          欢迎老师、同学们参加、交流！