Nikola P. Petrov, Lu Lu, Charles R. Doering
Variational bounds on the energy dissipation rate in body-forced shear flow
(1890K, Postscript)

ABSTRACT.  A new variational problem for upper bounds on the rate of energy 
dissipation in body-forced shear flows is formulated by including a 
balance parameter in the derivation from the Navier-Stokes equations. 
The resulting min-max problem is investigated computationally, producing 
new estimates that quantitatively improve previously obtained rigorous 
bounds. The results are compared with data from direct numerical 
simulations.