Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows
Analysis of PDEs
2020-05-29 v1 Statistical Mechanics
Mathematical Physics
Dynamical Systems
math.MP
Probability
Chaotic Dynamics
Atmospheric and Oceanic Physics
Fluid Dynamics
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.
Cite
@article{arxiv.math/0108086,
title = {Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows},
author = {D. Blömker and Jinqiao Duan and T. Wanner},
journal= {arXiv preprint arXiv:math/0108086},
year = {2020}
}