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SUMMARY:Eduard Feireisl (Czech Technical University\, Prague)
DTSTART:20200723T130000Z
DTEND:20200723T135000Z
DTSTAMP:20260423T052546Z
UID:IMS/43
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/IMS/43/">Erg
 odic theory for energetically open compressible fluid flows</a>\nby Eduard
  Feireisl (Czech Technical University\, Prague) as part of PDE seminar via
  Zoom\n\n\nAbstract\nThe ergodic hypothesis is examined for energetically 
 open fluid systems represented by the barotropic Navier--Stokes equations 
 with general inflow/outflow boundary conditions.\n\nAny globally bounded t
 rajectory generates a stationary statistical solution\,\n\nwhich is interp
 reted as a stochastic process with continuous trajectories supported by th
 e family of weak solutions of the problem. The abstract Birkhoff--Khinchin
  theorem is applied to obtain convergence (in expectation and a.s.) of erg
 odic averages for any bounded Borel measurable function of state variables
  associated to any stationary solution. Finally\, we show that validity of
  the ergodic hypothesis is determined by the behavior of entire solutions.
 \n\n (joint work with F. Fanelli (Lyon) and M. Hofmanova (Bielefeld))\n
LOCATION:https://researchseminars.org/talk/IMS/43/
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