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SUMMARY:Phase transitions and large deviations in geophysical fluid dynami
 cs - Bouchet\, F (ENS - Lyon)
DTSTART:20131101T101000Z
DTEND:20131101T104500Z
UID:TALK48651@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Geophysical turbulent flows (atmosphere and climate dynamics\,
  the Earth core dynamics) often undergo very rapid transitions. Those abru
 pt transitions change drastically the nature of the flow and are of paramo
 unt importance\, for instance in climate. By contrast with most theoretica
 l models of phase transitions\, for turbulent flows it is difficult to cha
 racterize clearly the attractors (they are not simple fixed points of a de
 terministic dynamics or statistical equilibrium states) and the trajectori
 es that lead to transitions from one attractor to the others.\n\nI will re
 view recent researches in this subject\, including experimental and numeri
 cal studies of turbulent flows. Most of the talk will focus on theoretical
  works in the framework of the 2D stochastic quasi-geostrophic Navier-Stok
 es equations\, the quasi-geostrophic equations\, and the stochastic Vlasov
  equations. We will discuss predictions of phase transitions\, validity of
  large deviation results of the Freidlin-Wentzell type\, or more involved 
 approaches when the Freidlin-Wentzell approach is not valid.\n\nThe result
 s involve several works that have been done in collaborations with J. Laur
 ie\, M. Mathur\, C. Nardini\, E. Simonnet\, J. Sommeria\, T. Tangarife\, H
 . Touchette\, and O. Zaboronski. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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