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SUMMARY:Inviscid Limit and Prandtl System
DTSTART;VALUE=DATE-TIME:20190523T080000Z
DTEND;VALUE=DATE-TIME:20190523T100000Z
DTSTAMP;VALUE=DATE-TIME:20200607T011843Z
UID:indico-event-4688@indico.math.cnrs.fr
DESCRIPTION:One of the main open problems in the mathematical analysis of
fluid flows is the understanding of the inviscid limit in the presence of
boundaries. In the case of a fixed bounded domain\, it is an open problem
to know whether solutions to the Navier-Stokes system with no slip boundar
y condition (zero Dirichlet 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 fo
r the Euler system. To recover a zero Dirichlet condition\, Prandtl propos
ed to introduce a boundary layer (a small neighborhood of the boundary) in
which viscous effects are still present. It turns out that the system tha
t governs the flow in this small neighborhood\, namely the Prandtl system
has many mathematical difficulties. The goal of this course is to discuss
some of the recent development in the inviscid limit as well as the study
of the Prandtl system. We will also discuss the singularity formation for
both the stationary and non stationary Prandtl system.\n\nhttps://indico.m
ath.cnrs.fr/event/4688/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/4688/
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