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SUMMARY:Interaction of multi-scales for fluids in fast rotation - Gabriele
  Sbaiz (Università degli Studi di Trieste)
DTSTART:20220830T143000Z
DTEND:20220830T145000Z
UID:TALK177650@talks.cam.ac.uk
DESCRIPTION:In this talk\, we are interested in the study of geophysical f
 luids (like the atmosphere and oceans) on large scales. In this context\, 
 we observe the duality between the fast rotation (due to the Coriolis forc
 e)\, that drives the motion to horizontal planes\, and the gravitation\, t
 hat acts against this process by driving the fluid to a vertical stratific
 ation. Moreover\, different scales\, where some effects are predominant wi
 th respect to the others\, interact and contribute to the average dynamics
  of the flow.\nWe will review these features for a multi-scale and heat-co
 nducting model (called Navier-Stokes-Fourier system) where we take into ac
 count the competition of several external forces as the Coriolis\, the gra
 vitational and the centrifugal forces. For this multi-scale problem\, we h
 ave two main goals: the first aim is to understand the limit dynamics when
  the Coriolis term tends to infinity\; the second one is to find a robust 
 method that allows to deal with all the possible scenarios appearing due t
 o the different scaling. In addition\, our approach allows us also to hand
 le a critical scaling in which some low stratification effects due to the 
 gravity appear in the limit.\nThis is a joint work with Daniele Del Santo\
 , Francesco Fanelli and Aneta Wr&oacute\;blewska-Kamińska.
LOCATION:No Room Required
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