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 |
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| container_end_page | 3264 |
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| container_issue | 22 |
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| container_title | Journal of the Atmospheric Sciences |
| container_volume | 53 |
| creator | CAMASSA, R TIN, S.-K |
| description | 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. |
| doi_str_mv | 10.1175/1520-0469(1996)053<3251:TGGOTS>2.0.CO;2 |
| format | Article |
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| identifier | ISSN: 0022-4928 |
| ispartof | Journal of the Atmospheric Sciences, 1996-11, Vol.53 (22), p.3251-3264 |
| issn | 0022-4928 1520-0469 |
| language | eng |
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| source | American Meteorological Society; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Alma/SFX Local Collection |
| subjects | 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 |
| title | The global geometry of the slow manifold in the Lorenz-Krishnamurthy model |
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