The Well/Ill-posedness Separation of the Boltzmann Equation
报告题目(Title)：The Well/Ill-posedness Separation of the Boltzmann Equation
报告人(Speaker)：陈旭文 教授（罗切斯特大学）
地点(Place)：后主楼1124
时间(Time)：2026年6月2日（周二）16:00-17:00
邀请人(Inviter)：袁迪凡
报告摘要
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 well-posedness 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.
主讲人简介
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。
