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学术报告
学术报告
威尼斯官方网站登录百年校庆威尼斯官方网站系列学术报告之五十六 华中科技大学张雄韬副教授来访并作学术报告
发布人:蔡易  威尼斯官方网站:2019-10-10   浏览次数:10


报告人:张雄韬,华中科技大学

地点:明德楼B201报告厅

题目1Mean-Field Limit for the Cucker-Smale Model I: Regular Case

时间:2019.10.10, 14:30

题目2Mean-Field Limit for the Cucker-Smale Model II: Singular Case

时间:2019.10.10, 15:30

摘要:We introduce the rigorous mean field limit from Cucker-Smale model (CS) to kinetic CS model (KCS) with regular and singular interaction respectively. For regular interaction, the global-in-time stability of flocking states will be addressed. As a direct application of the uniform stability, we obtain the uniform-in-time mean-field limit in the Wasserstein metric. While for C-S model with singular interaction, uniform stability has not been obtained so far, and we will present a probabilistic approach for derivation of the KCS equation from the particle CS model with singular communication. More precisely, we introduce a suitable cutoff in the communication weight, and derive the estimates of the difference between particle trajectory and the kinetic trajectory for cutoff equations. Then we show the cutoff will tends to zero when particle number N tends to infinity and thus verify the mean field limit.



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