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