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SUMMARY:Chaos and turbulence in stochastic fluid mechanics: What is it and
  how could we study it? - Jacob Bedrossian (University of Maryland\, Colle
 ge Park)
DTSTART:20220222T120000Z
DTEND:20220222T130000Z
UID:TALK170741@talks.cam.ac.uk
DESCRIPTION:In this survey-style talk I discuss the (old) idea of studying
  turbulence in stochastically-forced fluid equations. I will discuss&nbsp\
 ; definitions of chaos\, anomalous dissipation\, and various other predict
 ions by physicists that can be phrased as mathematically precise conjectur
 es in this context. Then\, I will discuss some recent work by my collabora
 tors and I on various aspects\, namely (1) a straightforward characterizat
 ion of anomalous dissipation that implies the classical Kolmogorov 4/5 law
  for 3d NSE (joint with Michele Coti Zelati\, Sam Punshon-Smith\, and Fran
 ziska Weber)\; (2) the study of "Lagrangian chaos" and exponential mixing 
 of scalars and how it leads to a proof of anomalous dissipation and of the
  power spectrum predicted by Batchelor in 1959 for the simpler problem of 
 Batchelor-regime passive scalar turbulence (joint with Alex Blumenthal and
  Sam Punshon-Smith)\; (3) the more recent proof of "Eulerian chaos" for Ga
 lerkin truncations of the Navier-Stokes equations (joint with Alex Blument
 hal and Sam Punshon-Smith).&nbsp\;
LOCATION:Seminar Room 2\, Newton Institute
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