PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Stephanie Zerby, Chun Liu.

Title:Homogenization and Anomalous Diffusion
Seminar:Department of Mathematics Colloquium
Speaker:Gautam Iyer, Carnegie Mellon (Host: Alexei Novikov)
Abstract:
Homogenization is a well known technique used to approximate the macroscopic behaviour of a material with microscopic impurities. While this originally arose in the study of composite materials, it has applications to various other fields, and I will focus on a few results motivated by fluid dynamics. One well known result in this direction is that of GI Taylor concerning fluid flows in pipes. Unfortunately the length scales involved in typical oil pipelines are not too short this result to apply. I will conclude by describing joint work with A. Novikov concerning cellular flows (i.e. strong array of opposing vortices) and a conjecture on the effective behaviour in a regime outside that of standard homogenization results.

Room Reservation Information

Room Number:MB114
Date:01 / 15 / 2015
Time:03:30pm - 04:20pm