Oliver Bühler, Courant Institute of Mathematical Sciences, NYU

The Kolmogorov code of turbulence and GFD

Fluid turbulence is the quintessential example of a nonlinear multiscale process and in its rotating and stratified forms it is of prime importance in GFD. In this talk we consider how some exact results of classical turbulence theory have recently been adapted for use in GFD. This centers on third-order structure functions and their use in determining spectral energy fluxes from in situ measurements in the atmosphere and ocean. I will explain the relevant classical theory and its adaptation, and will give examples of idealized fluid flows, including a form of 2d magnetohydrodynamic turbulence.

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