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SUMMARY:Enhanced dissipation and Taylor dispersion in higher-dimensional p
 arallel shear flows - Michele Coti Zelati (Imperial College)
DTSTART:20220207T140000Z
DTEND:20220207T150000Z
UID:TALK169247@talks.cam.ac.uk
CONTACT:Daniel Boutros
DESCRIPTION:We consider the evolution of a passive scalar advected by a pa
 rallel shear flow in an infinite cylinder with bounded cross section\, in 
 arbitrary space dimension. The essential parameters of the problem are the
  molecular diffusivity $\\nu$\, which is assumed to be small\, and the wav
 e number $k$ in the streamwise direction\, which can take arbitrary values
 . Under generic assumptions on the shear velocity\, we obtain optimal deca
 y estimates for large times\, both in the enhanced dissipation regime $\\n
 u\\ll |k|$ and in the Taylor dispersion regime $\\nu\\gg |k|$. Some of the
 se concepts can be used also in the Navier-Stokes equations to understand 
 stability thresholds for small\nperturbations of the Poiseuille and Kolmog
 orov flows. 
LOCATION:CMS\, MR13
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