Tropical Atmospheric Circulations: Dynamic Stability and Transitions
Tian Ma, Shouhong Wang
TL;DR
This paper develops a mathematical theory of tropical atmospheric circulations, introducing a new metastable oscillation model for ENSO based on dynamic transition and flow theories.
Contribution
It presents a novel mathematical framework for understanding the stability and transitions of tropical atmospheric circulations and ENSO phenomena.
Findings
A new metastable state oscillation theory for ENSO.
Application of dynamic transition theory to atmospheric flows.
Insights into the stability and variability of tropical circulations.
Abstract
In this article, we present a mathematical theory of the Walker circulation of the large-scale atmosphere over the tropics. This study leads to a new metastable state oscillation theory for the El Nino Southern Oscillation (ENSO), a typical inter-annual climate low frequency oscillation. The mathematical analysis is based on 1) the dynamic transition theory, 2) the geometric theory of incompressible flows, and 3) the scaling law for proper effect of the turbulent friction terms, developed recently by the authors.
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