Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows
arXiv:math/0108086 · doi:10.1063/1.1459755
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 Hölder continuity and describing the small-time asymptotics.