Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows

Abstract

Enstrophy is an averaged measure of fluid vorticity. This quantity is particularly important in {\em rotating} geophysical flows. We investigate the dynamical evolution of enstrophy for large-scale quasi-geostrophic flows under random wind forcing. We obtain upper bounds on the enstrophy, as well as results establishing its H\"older continuity and describing the small-time asymptotics