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：Prof. Tong Yang (City University of Hong Kong)
题 目：Coercivity estimate of the linearized Boltzmann-Bose operator
时 间：2022.09.21（星期三）16:00-17:00
地 点：Zoom ID: 924 888 5804 Passcode: AMSS2022
https://us06web.zoom.us/j/9248885804?pwd=OXg2VDhBT0pxRkd1Z3RJS0NFMnRDdz09
摘 要：For the Boltzmann-Bose equation, a coercivity estimate for the linearized operator around a Bose-Einstein distribution is obtained to reveal the singularity when the fugacity close to 1. Based on the well-established coercivity estimate for the classical Boltzmann equation without angular cut-off, the proof relies on the projections on two different null spaces of the linearized operators in the hard potential case. For the soft potential, an induction argument is applied to reduce the kinetic factor in the cross-section to some suitable weight functions by using the gain of moment due to the angular singularity. The talk is based on a joint work with Yulong Zhou.
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