Institute for Mathematics and Its Applications
Goeffrey Vallis, University of California Santa Cruz
We will discuss the application of classical and not-so-classical ideas of geostrophic turbulence to the ocean. First we discuss how classical models of geostrophic turbulence, typically developed for situations with little vertical structure, might be modified for an ocean with a more complex stratification. In particular, we discuss energy and enstrophy cascades in spatially homogeneous models with a distinctive thermocline structure. We will also discuss how such turbulence affects the predictability of the oceanic mesoscale. Finally, we speculate on whether the predictability of a flow might be predicted, based on considerations of the strain field.