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SUMMARY:Hydrodynamical limits for the fractional diffusion/Stokes equation
  - Sara Merino (CCA)
DTSTART:20130605T150000Z
DTEND:20130605T160000Z
UID:TALK44746@talks.cam.ac.uk
CONTACT:Martin Taylor
DESCRIPTION:What do the trajectories of pollen particles suspended in wate
 r and the evolution of heat in a room have in common? These observable (ma
 croscopic) physical phenomena are related through their microscopic dynami
 cs. This link and its generalisations are based on standard mathematical o
 bjects from PDE and Probability theory: (fractional) diffusion equation\, 
 random walks\, Brownian motion and Levy processes.\n\nI will present a rec
 ent result concerning fractional hydrodynamical limits. Starting from a li
 near kinetic equation (which describes the microscopic dynamics)\, we deri
 ve a fractional Stokes equation governing the associated macroscopic quant
 ities (mass\, flux and temperature).\n\nThis is a joint work with Sabine H
 ittmeir from Technische Universitat of Vienna.\n\nKeywords: fractional lap
 lacian\, super-diffusion\, hydrodynamical limit\, non-locality\, Levy proc
 esses\, heavy-tailed distribution\, anomalous transport\, scale-invariance
 \, Stokes equation.
LOCATION:MR14\, Centre for Mathematical Sciences
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