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CATEGORIES:Geometric Analysis and Partial Differential Equati
ons seminar
SUMMARY:Global stability of the Boltzmann equation nearby
equilibrium - Bob Strain (University of Pennsylvan
ia)
DTSTART;TZID=Europe/London:20100524T160000
DTEND;TZID=Europe/London:20100524T170000
UID:TALK24886AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/24886
DESCRIPTION:The Boltzmann equation has been a cornerstone of s
tatistical physics for about 140 years\, but becau
se of the extremely singular nature of the Boltzma
nn collision operator\, the tools necessary for ri
gorous study of this equation (without relying on
the so-called "Grad cutoff" assumption) have only
recently emerged. This central equation provides a
basic example where a wide range of geometric fra
ctional derivatives occur in a physical model of t
he natural world.\n\nWe explain our recent proof o
f global stability for the Boltzmann equation 1872
with the physically important collision kernels d
erived by Maxwell 1867 for the full range of inver
se power intermolecular potentials\, r^{-(p-1)} wi
th p > 2 and more generally. Our solutions are pe
rturbations of the Maxwellian equilibrium states\,
and they decay rapidly in time to equilibrium as\
npredicted by celebrated the Boltzmann H-theorem.\
n\nThis is joint work with P. Gressman.\n
LOCATION:CMS\, MR13
CONTACT:Prof. Mihalis Dafermos
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