中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人： Didier Bresch（法国萨瓦大学）
题 目：Mean field limit with singular kernels, I-An overview
时 间：2022.10.21（星期五）11:00-12:00
地 点：zoom：793 247 5014 会议密码：amss2022
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题 目：Mean field limit with singular kernels, II-Introduce weights: A new way of thinking for singular kernels
时 间：2022.10.26（星期三）11:00-12:00
地 点：zoom：793 247 5014 会议密码：amss2022
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题 目：Mean field limit with singular kernels, III-A modulated free energy for first order systems
时 间：2022.10.27（星期四）11:00-12:00
地 点：zoom：793 247 5014 会议密码：amss2022
摘 要：In this serie of lectures, I will present mathematical justifications for mean field limits with singular kernels based on the control of appropriate weights. These weights must be dynamics and fully relevant to the problem under consideration.We will explain some recent results obtained with Pierre-Emmanuel Jabin (Penn-State Univ.) and initially with Z. Wang (Peking Univ.) then in a second time with J. Soler (Granada Univ.) respectively around systems of order 1 and then around systems of order 2.
This idea of well-adapted dynamical weights finds for us its origin in a joint work with P.-E. Jabin on compressible Navier-Stokes.
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题 目：A weighted Lp quantity to treat second order systems of Mean field limit with singular kernels
时 间：2022.10.28（星期五）11:00-12:00
地 点：zoom：793 247 5014 会议密码：amss2022
摘 要：I will present mathematical justifications for mean field limits with singular kernels based on the control of Lp quantity weights. These weights must be dynamics and fully relevant to the problem under consideration.
个人简介：Didier Bresch，法国萨瓦大学教授，法国CNRS高级研究员，国际知名数学家，2007年获得Maurice Audin奖，2009和2011年获得La Recherche奖。Didier Bresch教授主要研究领域为偏微分方程、流体力学和生物力学中的数学问题等，在数学国际顶级三大杂志之一“Ann.Math.”以及其他国际知名数学杂志“Arch. Ration. Mech. Anal.”、“Comm. Math. Phys.”、“J. Math. Pures Appl.”上发表论文80余篇。
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