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【学术报告】9月13日武汉大学李维喜教授学术讲座通知

澳门新葡新京: 2018-09-11      文章编辑:   

讲座题目:Gevrey smoothing effect for the spatially inhomogeneous Boltzmann equation without cut-off

报告人:李维喜,武汉大学教授

时间:2018年9月13日上午9点55分

地点:9号楼122室

报告人先容:李维喜,2003年获得武汉大学学士学位,2008年获得武汉大学博士学位,之后分别于巴黎六大,Lund Unversity,Nantes University,University of Bologna做博士后工作,其主要研究领域为偏微分方程和数学物理方程,发表在Annales Henri Poincaré,SIAM J. Math. Anal., JDE,JEMS,JSP,Advances Math.,CPDE等高水平SCI论文近30篇,获得2014年优秀青年基金以及2015年霍英东教育基金资助。

报告内容先容: In this talk we study 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.


 

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