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SUMMARY:On Shear and Diffusion in Fluid Flows
DTSTART:20210326T141500
DTSTAMP:20260413T224138Z
UID:136eacf79603e04981f69b949b49e41ac7244f3c5c210ebabae08788
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Dallas ALBRITTON\, Courant Institute of Mathematical Scien
 ces\nAbstract: We consider the evolution of a passive scalar (for example\
 , a temperature distribution) which is transported by a fluid flow and dif
 fuses. It is well known that shear in the background flow may interact wit
 h the diffusion to cause the solution to decay faster than it would by dif
 fusion alone. This so-called *enhanced dissipation* has been widely studie
 d in the PDE community over the past two decades. We reanalyze this phenom
 enon from the new but old perspective of Hormander's classical work on hyp
 oellipticity. This allows us to give short and\, in our opinion\, transpar
 ent proofs of enhanced dissipation in shear flows. Time permitting\, we wi
 ll also discuss rough shears and the sharp threshold for passive scalars t
 o lose smoothness.
LOCATION:https://epfl.zoom.us/j/87984684200?pwd=ZW1yNXlVZVJXRnBGSjZTdklFUU
 4rUT09
STATUS:CONFIRMED
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