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)   

 Compressible Navier-Stokes equations with Low Regularity, I-An Overview for non-stationary flows

  2022.09.20(星期二)16:00-17:00

 点:zoom793 247 5014 会议密码:amss2022

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 Compressible Navier-Stokes equations with Low Regularity, II-Gaining Weight in Fluid Mechanics is not so Bad: A non-local tool

  2022.09.21(星期三)16:00-17:00

 点:zoom793 247 5014 会议密码:amss2022

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 Compressible Navier-Stokes equations with Low Regularity, III-A proof on some cases to understand

  2022.09.22(星期四)16:00-17:00

 点:zoom793 247 5014 会议密码:amss2022

  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 Audin20092011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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