PHYSICAL MATHEMATICS SEMINAR TOPIC: A VARIATIONAL APPROACH TO FLUID TURBULENCE SPEAKER: RICHARD KERSWELL Department of Mathematics University of Bristol (United Kingdom) ABSTRACT: Recently there has been a resurgence of interest in obtaining rigorous bounds on global transport quantities in fluid turbulence such as the heat flux in Boussinesq convection and momentum transport in shear flows. This has been stimulated by the emergence of a new variational formulation discovered by Doering and Constantin in the early '90s. I will try to give a brief overview of this new method as well as showing how it fits in with a more classical approach pioneered by Malkus, Howard and Busse in the '60s. Some new results aimed at reducing currentenergy dissipation bounds will also be discussed. DATE: TUESDAY, APRIL 25, 2000 TIME: 2:30 PM LOCATION: Building 2, Room 338 Refreshments will be served at 3:30 PM in Building 2, Room 349 Massachusetts Institute of Technology Department of Mathematics Cambridge, MA 02139