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：Compressible Navier-Stokes equations with Low Regularity, I-An Overview for non-stationary flows
时 间：2022.09.20（星期二）16:00-17:00
地 点：zoom：793 247 5014 会议密码：amss2022
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题 目：Compressible Navier-Stokes equations with Low Regularity, II-Gaining Weight in Fluid Mechanics is not so Bad: A non-local tool
时 间：2022.09.21（星期三）16:00-17:00
地 点：zoom：793 247 5014 会议密码：amss2022
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题 目：Compressible Navier-Stokes equations with Low Regularity, III-A proof on some cases to understand
时 间：2022.09.22（星期四）16:00-17:00
地 点：zoom：793 247 5014 会议密码：amss2022
摘 要：During this serie of lectures, I will describe different examples from fluid mechanics in the non-stationary case on which it is possible to obtain compactness in space on quantities transported by a non regular vector field if compactness is assumed initially. We will see that everything goes through gaining weight in a right manner i.e. following the motion while including damping and controlling the extent of the whole where things could go wrong. These include a series of works with Pierre--Emmanuel Jabin (Penn-State Univ.) as well as a result that we obtained also with F. Wang (Maryland Univ.).
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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