Seminar by Gautam Iyer - Homogenization and Anomalous Diffusion   16 April 2015

14:00 - 16:00


Gautam Iyer, Carnegie Mellon University

Description: Homogenization is a technique which is used to approximate macroscopic behaviour in the presence of micro scale fluctuations. A fundamental application to fluid dynamics was conceived by G. I. Taylor (JFM '53) by estimating the effective diffusivity of a solute diffusing in the presence of a laminar flow in a pipe.  Unfortunately 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 address regimes where the homogenization results don't apply.

Specifically, in the context of cellular flows, Young '88 observed both numerically and experimentally a robust and stable anomalous diffusive behaviour at time scales shorter than those required by homogenization results. In joint work with A. Novikov we prove that the variance of tracer particles on intermediate time scales is consistent with Young's observation. I will conclude with a description of recent work by Hairer, Koralov and Pajor-Gulai showing that the effective behaviour is a subordinated Brownian motion.

Name University Dates of visit
Gautam Iyer Carnegie Mellon University 16/04/2015 - 16/04/2015
Total Guests : 1
Name University Dates of visit
Total Guests : 0
Conference in Honor of the 70th Birthday of Tudor Ratiu, 20 to 24 July 2020.
Registration fees of CHF 50.- are mandatory for visits from 1 day to full attendance of the conference.
Cancellations and no-shows are not eligible for a refund.
I hereby agree to the conditions of the registration fees and to settling the amount by 28 February 2020.

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