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SUMMARY:Global stability of the Boltzmann equation nearby equilibrium - Bo
 b Strain (University of Pennsylvania)
DTSTART:20100524T150000Z
DTEND:20100524T160000Z
UID:TALK24886@talks.cam.ac.uk
CONTACT:Prof. Mihalis Dafermos
DESCRIPTION:The Boltzmann equation has been a cornerstone of statistical p
 hysics for about 140 years\, but because of the extremely singular nature 
 of the Boltzmann collision operator\, the tools necessary for rigorous stu
 dy of this equation (without relying on the so-called "Grad cutoff" assump
 tion) have only recently emerged. This central equation provides a basic e
 xample where a wide range of geometric fractional derivatives occur in a p
 hysical model of the natural world.\n\nWe explain our recent proof of glob
 al stability for the Boltzmann equation 1872 with the physically important
  collision kernels derived by Maxwell 1867 for the full range of inverse p
 ower intermolecular potentials\, r^{-(p-1)} with p > 2 and more generally.
   Our solutions are perturbations of the Maxwellian equilibrium states\, a
 nd they decay rapidly in time to equilibrium as\npredicted by celebrated t
 he Boltzmann H-theorem.\n\nThis is joint work with P. Gressman.\n
LOCATION:CMS\, MR13
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