Schedule Jun 2
The Nonisotropic average Euler equations
S. Shkoller (UC Davis)
I will present a derivation of a new model of incompressible hydrodynamics, called the nonisotropic averaged Euler equations, based on fuzzying-up the Lagrangian flow map, and averaging a new hybrid Eulerian-Lagrangian decomposition of the macroscopic velocity field. The new model is a coupled system of equations for the macroscopic velocity field u which is accurate down to some given length scale alpha and a symmetric fluctuation tensor F. Upon solving for (u,F), one can then solve for a "corrector" which improves the accuracy of the macroscopic velocity field to O(alpha^2). Some well-posedness results will be given.

Audio for this talk requires sound hardware, and RealPlayer or RealAudio by RealNetworks.

Begin continuous audio for the whole talk. (Or, right-click to download the whole audio file.)

Author entry (protected)