• Jared Whitehead
  • February 23, 1 PM
  • 3866 EH
Typical descriptions of turbulence rely on averaging, and statistical assumptions about the mean flow, in order to say something reliable and meaningful.  In traditional Rayleigh Benard convection, one item of particular interest is the enhancement of heat transport due to convection as measured by the Nusselt number.  For the past 50+ years, physicists have proposed theories, performed experiments and numerical simulations to determine how the Nusselt number depends on the material parameters of the problem.  We will illustrate some of these results, and detail some of the recent rigorous results that provide analytic bounds for various types of boundary conditions, and geometries.  Special care will be taken to highlight the mathematics used to derive these bounds.