中科院数学与系统科学研究院
数学研究所
学术报告
调和分析和偏微分方程研讨班
报告人：Shunlin Shen (Peking University)
题 目：Well/ill-posedness of the Boltzmann equation
时 间：2023.12.12（星期二）09:00-10:00
地 点：思源楼S813
摘 要：We consider the Boltzmann equation with the soft potential and angular cutoff. Inspired by the methods from dispersive PDEs, we establish its sharp well-posedness and ill-posedness in $H^{s}$ Sobolev space. We find the well/ill-posedness separation at regularity $s=\frac{d-1}{2}$, strictly $\frac{1}{2}$-derivative higher than the scaling-invariant index $s=\frac{d-2}{2}$, the usually expected separation point. This talk is based on joint work with Xuwen Chen and Zhifei Zhang.
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