Fourth Chicago Area PDE Workshop

Title: Heat Rises: Energy transport in Rayleigh-Benard convection
Speaker: Professor Charlie Doering
Speaker Info: University of Michigan
Brief Description:
Special Note:

After a general review of physical applications and mathematical modeling of Rayleigh-Benard convection, the following recent rigorous result will be described: for the infinite Prandtl number limit of the Boussinesq equations, the Nusselt number is rigorously bounded in terms of the Rayleigh number according to Nu < .644 Ra^1/3 [logRa]^1/3 for large Ra. This estimate follows from the utilization of a novel logarithmic profile in the background method for producing bounds on bulk transport together with new estimates for the bi-Laplacian in a weighted L2 space. This is joint work with Felix Otto and Maria Reznikoff (Westdickenberg).
Date: Saturday, March 07, 2009
Time: 2:00pm
Where: SEO 636, Department of Mathematics, Statistics, and Computer Science, UIC, 851 S. Morgan Street, Chicago, IL.
Contact Person: Prof. Gui-Qiang Chen
Contact email:
Contact Phone:
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