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Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equations without cut-off
时间  Datetime
2018-07-11 16:00 — 17:00 
地点  Venue
Middle Lecture Room
报告人  Speaker
李维喜
单位  Affiliation
武汉大学
邀请人  Host
王亚光
报告摘要  Abstract

In this talk we present the Gevrey regularization effect for the spatially inhomogeneous Boltzmann equation without angular cutoff. This equation is partially elliptic in the velocity direction and degenerates in the spatial variable. We consider the nonlinear Cauchy problem for the fluctuation around the Maxwellian distribution and prove that any solution with mild regularity will become smooth in Gevrey class at positive time, with Gevrey index depending on the angular singularity. Our proof relies on the symbolic calculus for the collision operator and the global subelliptic estimate for the Cauchy problem of linearized Boltzmann operator.