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Stability of stationary barotropic modons by Lyapunov's direct methodA new Liapunov stability condition is formulated for the shallow-water equations, using a gage-variable formalism. This sufficient condition is derived for the class of perturbations that conserve the total mass. It is weaker than existing stability criteria, i.e., it applies to a wider class of flows. Formal stability to infinitesimally small perturbations of arbitrary shape is obtained for two classes of large-scale geophysical flows: pseudo-eastward flow with constant shear, and localized coherent structures of modon type.
Document ID
19900038540
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Sakuma, H.
(California Univ. Los Angeles, CA, United States)
Ghil, M.
(California, University Los Angeles, United States)
Date Acquired
August 14, 2013
Publication Date
February 1, 1990
Publication Information
Publication: Journal of Fluid Mechanics
Volume: 211
ISSN: 0022-1120
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A25595
Funding Number(s)
CONTRACT_GRANT: NSF ATM-86-15424
CONTRACT_GRANT: NAG5-713
CONTRACT_GRANT: N00014-87-K-0331
Distribution Limits
Public
Copyright
Other

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