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SUMMARY:Conservation of energy\, weak transport and vanishing viscosity in
  2D -- Lecture 2 - Helena Judith Nussenzveig Lopes (Universidade Federal d
 o Rio de Janeiro (UFRJ))
DTSTART:20220427T150000Z
DTEND:20220427T160000Z
UID:TALK171746@talks.cam.ac.uk
DESCRIPTION:The issue of inviscid energy dissipation is central in turbule
 nce theory and much progress has been achieved&nbsp\;recently through conv
 ex integration\,&nbsp\;with the construction of wild solutions. However\, 
 it remains unclear how physical are these wild solutions and\, in particul
 ar\, whether they can be obtained by vanishing viscosity limits. In planar
  inviscid flows a related problem is whether vorticity is indeed transport
 ed along irregular flows.\nIn this lecture series we will explore conserva
 tion of energy and transport of vorticity along sequences of approximation
 s to inviscid flows\, especially small viscosity solutions of Navier-Stoke
 s. We will focus on thresholds of regularity and mechanisms which avoid in
 viscid dissipation\, both for energy and vorticity transport.
LOCATION:Seminar Room 2\, Newton Institute
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