The global geometry of the slow manifold in the Lorenz-Krishnamurthy model

The global geometry of the slow manifold in the Lorenz-Krishnamurthy model

The five-equation model introduced by Lorenz and Krishnamurthy is studied. It is shown that the question of existence of a slow manifold for this model can be addressed by a combination of local and global analysis. Existence of a locally slow manifold and nonexistence of its global counterpart are...

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Veröffentlicht in:Journal of the Atmospheric Sciences 1996-11, Vol.53 (22), p.3251-3264
Hauptverfasser: CAMASSA, R, TIN, S.-K
Format: Artikel
Sprache:eng
Schlagworte:
Atmosphere
ATMOSPHERIC CIRCULATION
EARTH ATMOSPHERE
Earth, ocean, space
ENVIRONMENTAL SCIENCES
Exact sciences and technology
External geophysics
Geometry
Geophysics. Techniques, methods, instrumentation and models
GLOBAL ASPECTS
GRAVITY WAVES
MATHEMATICAL MODELS
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Beschreibung
Zusammenfassung:The five-equation model introduced by Lorenz and Krishnamurthy is studied. It is shown that the question of existence of a slow manifold for this model can be addressed by a combination of local and global analysis. Existence of a locally slow manifold and nonexistence of its global counterpart are proven.
ISSN:0022-4928
1520-0469
DOI:10.1175/1520-0469(1996)053<3251:TGGOTS>2.0.CO;2