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UID:fc07c8598f97882ea03f567b2cdef3fd
CATEGORIES:Mathematical Physics Seminar
CREATED:20220321T142940
SUMMARY:Turbulence: from the basics to slightly beyond
LOCATION:Zoom
DESCRIPTION:In the landscape of physics, turbulence stands in a rather unique place. Th
 e problems it attempts to solve can be traced back to Newton's Principia wi
 th slow progress afterwards even though\n1) the equations to be solved are 
 well-known (Euler eq. for inviscid fluids, Navier-Stokes with viscosity) \n
 2) The range of applications is huge, from moving objects to weather and cl
 imate studies\nOver the last forty years, big progress in the understanding
  of the transition from laminar (not time dependent) to turbulent flows. Dy
 namical system theory yields a fair understanding of transition in small bo
 xes (the "routes to chaos").In systems with many degrees of freedom (like p
 arallel flows or pipe flows) the transition is continuous and follows the d
 irected percolation scenario, which explains observations made in 1888 by O
 sborne Reynolds. \nThere remains to understand the regime of very large Rey
 nolds numbers, very far from the onset of stability. I'll discuss the model
 ing of this regime, namely the way momentum is exchanged by interaction bet
 ween turbulent fluctuations, the so-called closure problem, in a concrete s
 ituation.\n
X-ALT-DESC;FMTTYPE=text/html:<p>In the landscape of physics, turbulence stands in a rather unique place.
  The problems it attempts to solve can be traced back to Newton's Principia
  with slow progress afterwards even though<br />1) the equations to be solv
 ed are well-known (Euler eq. for inviscid fluids, Navier-Stokes with viscos
 ity) <br />2) The range of applications is huge, from moving objects to wea
 ther and climate studies<br />Over the last forty years, big progress in th
 e understanding of the transition from laminar (not time dependent) to turb
 ulent flows. Dynamical system theory yields a fair understanding of transit
 ion in small boxes (the "routes to chaos").In systems with many degrees of 
 freedom (like parallel flows or pipe flows) the transition is continuous an
 d follows the directed percolation scenario, which explains observations ma
 de in 1888 by Osborne Reynolds. <br />There remains to understand the regim
 e of very large Reynolds numbers, very far from the onset of stability. I'l
 l discuss the modeling of this regime, namely the way momentum is exchanged
  by interaction between turbulent fluctuations, the so-called closure probl
 em, in a concrete situation.</p>
CONTACT:Yves Pomeau - French National Centre for Scientific Research
DTSTAMP:20260828T175828
DTSTART;TZID=America/New_York:20220330T104500
DTEND;TZID=America/New_York:20220330T114500
SEQUENCE:0
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