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SUMMARY:Uncertainty quantification in kinetic equations - Shi Jin (Univers
 ity of Wisconsin-Madison)
DTSTART:20180521T130000Z
DTEND:20180521T140000Z
UID:TALK105793@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:Kinetic equations describe dynamics of probability density dis
 tributions of large number of particles\, and have classical applications 
 in rarefied gas\, plasma\, nuclear engineering and emerging ones in biolog
 ical and social sciences. Since they are not first principle equations\, r
 ather are usually derived from mean field approximations of Newton's secon
 d law\, thus contain inevitably uncertainties in collision kernel\, scatte
 ring coefficients\, initial and boundary data\, forcing and source terms. 
  In this talk we will review a few recent results for kinetic equations wi
 th random uncertainties.  We will extend hypocoercivity theory\, developed
  for deterministic kinetic equations\, to study local sensitivity\, regula
 rity\, local time behavior of the solutions in the random space\, and also
  establish corresponding theory for their numerical approximations.
LOCATION:MR5\, Centre for Mathematical Sciences
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