Tropical atmospheric circulations: Dynamic stability andtransitions

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2010Embargo end date: 01 Jan 2009Publisher:American Institute of Mathematical Sciences (AIMS)Journal:Discrete and Continuous Dynamical Systems, volume 28, pages 1,399-1,417 (issn: 1078-0947, eissn: 1553-5231,

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Authors: Ma, Tian; Wang, Shouhong;

doi: 10.3934/dcds.2010.26.1399 , 10.48550/arxiv.0903.2106

arXiv: 0903.2106

Tropical atmospheric circulations: Dynamic stability andtransitions

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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.

Related Organizations

Sichuan University
China (People's Republic of)
Indiana University Bloomington
United States

Keywords

FOS: Physical sciences, General theory of rotating fluids, Mathematical Physics (math-ph), Meteorology and atmospheric physics, Walker circulation, new mechanism of ENSO, El Niño southern oscillation (ENSO), metastable states, Navier-Stokes equations, tropical atmospheric circulation, dynamic transition, Mathematical Physics

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