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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Conservation of energy\, weak transport and vanish
 ing viscosity in 2D -- Lecture 2 - Helena Judith N
 ussenzveig Lopes (Universidade Federal do Rio de J
 aneiro (UFRJ))
DTSTART;TZID=Europe/London:20220427T160000
DTEND;TZID=Europe/London:20220427T170000
UID:TALK171746AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/171746
DESCRIPTION:The issue of inviscid energy dissipation is centra
 l in turbulence theory and much progress has been 
 achieved&nbsp\;recently through convex integration
 \,&nbsp\;with the construction of wild solutions. 
 However\, it remains unclear how physical are thes
 e wild solutions and\, in particular\, whether the
 y can be obtained by vanishing viscosity limits. I
 n planar inviscid flows a related problem is wheth
 er vorticity is indeed transported along irregular
  flows.\nIn this lecture series we will explore co
 nservation of energy and transport of vorticity al
 ong sequences of approximations to inviscid flows\
 , especially small viscosity solutions of Navier-S
 tokes. We will focus on thresholds of regularity a
 nd mechanisms which avoid inviscid dissipation\, b
 oth for energy and vorticity transport.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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