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SUMMARY:Inviscid Limit and Prandtl System
DTSTART:20190701T080000Z
DTEND:20190701T100000Z
DTSTAMP:20260419T045300Z
UID:indico-event-4689@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Nader Masmoudi (Université de New York)\n\nOne of t
 he main open problems in the mathematical analysis of fluid flows is the u
 nderstanding of the inviscid limit in the presence of boundaries. In the c
 ase of a fixed bounded domain\, it is an open problem to know whether solu
 tions to the Navier-Stokes system with no slip boundary condition (zero Di
 richlet boundary condition) do converge to a solution to the Euler system 
 when the viscosity goes to zero. The main problem here comes from the fact
  that we cannot impose a no slip boundary condition for the Euler system. 
 To recover a zero Dirichlet condition\, Prandtl proposed to introduce a bo
 undary layer (a small neighborhood of the boundary) in which viscous effec
 ts are still present. It turns out that the system that governs the flow i
 n this small neighborhood\, namely the Prandtl system has many mathematica
 l difficulties. The goal of this course is to discuss some of the recent d
 evelopment in the inviscid limit as well as the study of the Prandtl syste
 m. We will also discuss the singularity formation for both the stationary 
 and non stationary Prandtl system.\n\nhttps://indico.math.cnrs.fr/event/46
 89/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/4689/
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