分析和PDE讨论班——Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
主 题: 分析和PDE讨论班——Gelfand-Shilov and Gevrey smoothing effect for the spatially inhomogeneous non-cutoff Kac equation
报告人: 徐超江教授 (武汉大学和Universite de Rouen)
时 间: 2016-09-23 10:00-11:00
地 点: 理科一号楼1303
We consider the inhomogeneous non-cutoff Kac's model of the Boltzmann equation.We prove that the Cauchy problem for the fluctuation around the Maxwellian distribution is locally well-posed for a small initial data, and enjoys Gelfand-Shilov regularizing properties in the velocity variable and Gevrey regularizing properties in the position variable.