报告地点：行健楼学术活动室526
邀请人：尹会成教授
报告摘要：In this article we study the Gevrey regularization effect for the spatially inhomogeneous Boltzmann equation without angular cut-off. 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 sub-elliptic estimate for the Cauchy problem of linearized Boltzmann operator.