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SUMMARY:Exponential mixing with random cellular flows via hypocoercivity -
  Víctor Navarro-Fernández\, Imperial College London
DTSTART:20250317T140000Z
DTEND:20250317T150000Z
UID:TALK228592@talks.cam.ac.uk
CONTACT:Amelie Justine Loher
DESCRIPTION:We study a passive scalar equation on a two-dimensional period
 ic box\, where the advecting velocity field is given by a cellular flow wi
 th a randomly moving center. We prove that the passive scalar undergoes mi
 xing at an exponential rate\, independent of any underlying diffusivity. F
 urthermore\, we show that the velocity field enhances dissipation\, and we
  establish sharp decay rates that\, for large times\, are deterministic an
 d remain uniform in the diffusivity constant. Our approach is purely Euler
 ian and relies on a suitable modification of Villani's hypocoercivity meth
 od. This is a joint project with C. Seis (Universität Münster).
LOCATION:MR13
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