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SUMMARY:A uniform perturbative result for the Boltzmann equation - Marc Br
 iant (University of Cambridge)
DTSTART:20111019T150000Z
DTEND:20111019T163000Z
UID:TALK32793@talks.cam.ac.uk
CONTACT:Damon Civin
DESCRIPTION:Rarefied gas dynamics are governed by the Boltzmann equation t
 hat takes into account the average number of collisions per particle per u
 nit of time. One can expect that as this number (the inverse of Knudsen nu
 mber) tends to infinity\, the dynamic will tend to one of the fluid dynami
 cs model (acoustics\, Euler\, Navier-Stokes\, Stokes).\nAfter giving a bri
 ef description of the Boltzmann equation and some properties satisfied by 
 the Boltzmann operator in a perturbative setting\, this talk will establis
 h  existence and decay results for perturbative solutions around a global 
 Maxwellian\, uniformly in the Knudsen number. Such uniform behaviour leads
  to the convergence of the Boltzmann equation towards the Incompressible N
 avier-Stokes equations in a perturbative setting.
LOCATION:MR14\, CMS
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