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Volumn 56, Issue 3, 1999, Pages 400-411

Energy-Casimir and Energy-Lagrange Methods in the Study of Nonlinear Symmetric Stability Problems

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; PROBLEM SOLVING; VORTEX FLOW;

EID: 0033077603     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1999)056<0400:ECAELM>2.0.CO;2     Document Type: Article
Times cited : (11)

References (13)
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  • 2
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    • On an a priori estimate in the theory of hydrodynamic stability
    • _, 1966: On an a priori estimate in the theory of hydrodynamic stability. Izv. Vyssh. Uchebn. Zaved. Matematika, 54, (5),3-5.
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  • 3
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    • Conditional symmetric instability - A possible explanation for frontal rainbands
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    • Bennetts, D.A.1    Hoskins, B.J.2
  • 4
    • 0002855706 scopus 로고
    • Planetary fluid dynamics
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    • Charney, J. G., 1973: Planetary fluid dynamics. Dynamic Meteorology, P. Morel, Ed., Reidel, 97-351.
    • (1973) Dynamic Meteorology , pp. 97-351
    • Charney, J.G.1
  • 5
    • 0027789382 scopus 로고
    • Application of the direct Liapunov method to the problem of symmetric stability in the atmosphere
    • Cho, H. R., T. G. Shepherd, and V. A. Vladimirov, 1993: Application of the direct Liapunov method to the problem of symmetric stability in the atmosphere. J. Atmos. Sci., 50, 822-836.
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    • Cho, H.R.1    Shepherd, T.G.2    Vladimirov, V.A.3
  • 6
    • 0002806822 scopus 로고
    • Application of integral theorems in deriving criteria for laminar flows and for the baroclinic circular vortex
    • Fjortoft, R., 1950: Application of integral theorems in deriving criteria for laminar flows and for the baroclinic circular vortex. Geophys. Publ., 17 (6), 1-52.
    • (1950) Geophys. Publ. , vol.17 , Issue.6 , pp. 1-52
    • Fjortoft, R.1
  • 7
    • 0002245635 scopus 로고
    • Nonlinear stability of fluid and plasma equilibria
    • Holm, D. D., J. E. Marsden, T. Ratiu, and A. Weinstein, 1985: Nonlinear stability of fluid and plasma equilibria. Phys. Rep., 123, 1-116.
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    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.3    Weinstein, A.4
  • 8
    • 84981626546 scopus 로고
    • The role of potential vorticity in symmetric stability and instability
    • Hoskins, B. J., 1974: The role of potential vorticity in symmetric stability and instability. Quart. J. Roy. Meteor. Soc., 100, 480-482.
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  • 9
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  • 10
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    • _, T. G. Shepherd, and K. Swanson, 1996: On nonlinear symmetric stability and the nonlinear saturation of symmetric instability. J. Atmos. Sci., 53, 2918-2923.
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  • 11
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  • 12
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  • 13
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