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SUMMARY:Homogenization and Anomalous Diffusion
DTSTART:20150416T140000
DTEND:20150416T160000
DTSTAMP:20260406T153501Z
UID:22c1d68b01b66b170ab71f2849c8402154a04fda06a012b5369dc9d4
CATEGORIES:Conferences - Seminars
DESCRIPTION:Gautam Iyer\nDescription: Homogenization is a technique which 
 is used to approximate macroscopic behaviour in the presence of micro scal
 e fluctuations. A fundamental application to fluid dynamics was conceived 
 by G. I. Taylor (JFM '53) by estimating the effective diffusivity of a sol
 ute diffusing in the presence of a laminar flow\nin a pipe.  Unfortunatel
 y the length scales involved in typical oil pipelines are not long enough 
 for this result to apply! This course will focus on few results that addre
 ss regimes where the homogenization results don't apply.\nSpecifically\, i
 n the context of cellular flows\, Young '88 observed both numerically and 
 experimentally a robust and stable anomalous diffusive behaviour at time s
 cales shorter than those required by homogenization results. In joint work
  with A. Novikov we prove that the variance of tracer particles on interme
 diate time scales is consistent with Young's observation. I will conclude 
 with a description of recent work by Hairer\, Koralov and Pajor-Gulai show
 ing that the effective behaviour is a subordinated Brownian motion.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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