Nonlinear symmetric stability of planetary atmospheres-Reference-Cited by-同舟云学术

Nonlinear symmetric stability of planetary atmospheres

Published:1995-08-10 Issue: Volume:296 Page:391-407
ISSN:0022-1120
Container-title:Journal of Fluid Mechanics
language:en
Short-container-title:J. Fluid Mech.

Author:

Bowman John C.,Shepherd Theodore G.

Abstract

The energy–Casimir method is applied to the problem of symmetric stability in the context of a compressible, hydrostatic planetary atmosphere with a general equation of state. Formal stability criteria for symmetric disturbances to a zonally symmetric baroclinic flow are obtained. In the special case of a perfect gas the results of Stevens (1983) are recovered. Finite-amplitude stability conditions are also obtained that provide an upper bound on a certain positive-definite measure of disturbance amplitude.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

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5. Arnol'd, V. I. 1965 Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid.Dokl. Akad. Nauk. SSSR 162,975–978. (English trans. Sov. Maths 6, 773–777 1965).

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