Long-time Behavior of a Two-layer Model of Baroclinic Quasi-geostrophic Turbulence

• Published in: arXiv.org
• Main Authors: Farhat, Aseel, R Lee Panetta, Titi, Edriss S, Ziane, Mohammed
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 14.04.2012
• Subjects: Attractors (mathematics); Computational fluid dynamics; Function space; Mathematical models; Mathematics - Analysis of PDEs; Mathematics - Mathematical Physics; Operators (mathematics); Physical properties; Physics - Atmospheric and Oceanic Physics; Physics - Mathematical Physics; Temperature gradients; Upper bounds

We study a viscous two-layer quasi-geostrophic beta-plane model that is forced by imposition of a spatially uniform vertical shear in the eastward (zonal) component of the layer flows, or equivalently a spatially uniform north-south temperature gradient. We prove that the model is linearly unstable,...