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华中科技大学张雄韬副教授报告通知
发布人:蔡易  发布时间:2018-07-25   浏览次数:1188

应数学系李祝春副教授的邀请,华中科技大学张雄韬副教授近日来公司访问并做报告,欢迎广大师生参加。报告详情如下:

题目:Cucker-Smale model in general graph: 1-D case

时间:2018.07.26 下午15:30-16:30

地点:格物楼503报告厅

摘要:In this paper we study the Cucker-Smale model with general network on the line. We will construct an exponential decay quantity which can control the velocity diameter. Therefore we can imply the unconditional flocking emergence if the communication function is nonintegrable. This method is independent of the graph if only the network contains a spanning tree. Thus we prove that unconditional flocking emerges in the Cucker-Smale model for general digraph with a spanning tree. Moreover, in the special case when the communication function is regular inverse power form, unconditional flocking emerges if and only if the exponent  $\beta\leq 1/2$ .