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SUMMARY:On the subcritical transition of the 3D Couette flow - Jacob Bedro
 ssian\, University of Maryland 
DTSTART:20160111T160000Z
DTEND:20160111T170000Z
UID:TALK63345@talks.cam.ac.uk
CONTACT:Amit Einav
DESCRIPTION:We discuss the dynamics of small perturbations of the plane\, 
 periodic Couette flow in the 3D incompressible Navier-Stokes equations at 
 high Reynolds number. For sufficiently regular initial data\, we determine
  the stability threshold for small perturbations and characterize the long
  time dynamics of solutions near this threshold. For rougher data\, we obt
 ain an estimate of the stability threshold which agrees closely with numer
 ical experiments. The primary linear stability mechanism is an anisotropic
  enhanced dissipation resulting from the mixing caused by the large mean s
 hear\; the main linear instability is a non-normal instability known as th
 e lift-up effect. Understanding the variety of nonlinear resonances and de
 vising the correct norms to estimate them form the core of the analysis we
  undertake. Joint work with Pierre Germain and Nader Masmoudi.
LOCATION:CMS\, MR11
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