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Volumn 53, Issue 20, 1996, Pages 2918-2923

On nonlinear symmetric stability and the nonlinear saturation of symmetric instability

Author keywords

[No Author keywords available]

Indexed keywords

ATMOSPHERIC STABILITY; BOUSSINESQ EQUATION; NONLINEAR SATURATION; SYMMETRIC INSTABILITY;

EID: 0030422798     PISSN: 00224928     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0469(1996)053<2918:ONSSAT>2.0.CO;2     Document Type: Article
Times cited : (21)

References (15)
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    • Arnol'd, V. I., 1965: Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid. Sov. Math., 6, 773-777. First published in Dokl. Akad. Nauk. SSSR, 162, 975-978, 1965.
    • (1965) Sov. Math. , vol.6 , pp. 773-777
    • Arnol'd, V.I.1
  • 2
    • 0001143780 scopus 로고
    • First published
    • Arnol'd, V. I., 1965: Conditions for nonlinear stability of stationary plane curvilinear flows of an ideal fluid. Sov. Math., 6, 773-777. First published in Dokl. Akad. Nauk. SSSR, 162, 975-978, 1965.
    • (1965) Dokl. Akad. Nauk. SSSR , vol.162 , pp. 975-978
  • 3
    • 0000945983 scopus 로고
    • On an a priori estimate in the theory of hydrodynamical stability
    • _, 1969: On an a priori estimate in the theory of hydrodynamical stability. Amer. Math. Soc. Transl. Ser. 2, 79, 267-269. First published in Izv. Vyssh. Uchebn. Zaved. Matematika, 54(5), 3-5, 1966.
    • (1969) Amer. Math. Soc. Transl. Ser. 2 , vol.79 , pp. 267-269
  • 4
    • 0002771146 scopus 로고
    • First published
    • _, 1969: On an a priori estimate in the theory of hydrodynamical stability. Amer. Math. Soc. Transl. Ser. 2, 79, 267-269. First published in Izv. Vyssh. Uchebn. Zaved. Matematika, 54(5), 3-5, 1966.
    • (1966) Izv. Vyssh. Uchebn. Zaved. Matematika , vol.54 , Issue.5 , pp. 3-5
  • 5
    • 0018667525 scopus 로고
    • Conditional symmetric instability - A possible explanation for frontal rainbands
    • Bennetts, D. A., and B. J. Hoskins, 1979: Conditional symmetric instability - A possible explanation for frontal rainbands. Quart. J. Roy. Meteor. Soc., 105, 945-962.
    • (1979) Quart. J. Roy. Meteor. Soc. , vol.105 , pp. 945-962
    • Bennetts, D.A.1    Hoskins, B.J.2
  • 6
    • 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.
    • (1993) J. Atmos. Sci. , vol.50 , pp. 822-836
    • Cho, H.-R.1    Shepherd, T.G.2    Vladimirov, V.A.3
  • 7
    • 0020969811 scopus 로고
    • The Lagrangian parcel dynamics of moist symmetric instability
    • Emanuel, K. A., 1983: The Lagrangian parcel dynamics of moist symmetric instability. J. Atmos. Sci., 40, 2368-2376.
    • (1983) J. Atmos. Sci. , vol.40 , pp. 2368-2376
    • Emanuel, K.A.1
  • 8
    • 0002806822 scopus 로고
    • Application of integral theorems in deriving criteria of stability for laminar flows and for the baroclinic circular vortex
    • Fjørtoft, R., 1950: Application of integral theorems in deriving criteria of stability for laminar flows and for the baroclinic circular vortex. Geofys. Publ., 17(6), 1-52.
    • (1950) Geofys. Publ. , vol.17 , Issue.6 , pp. 1-52
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  • 9
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    • Nonlinear stability of fluid and plasma equilibria
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    • (1985) Phys. Rep. , vol.123 , pp. 1-116
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.3    Weinstein, A.4
  • 10
    • 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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  • 11
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    • An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems
    • McIntyre, M. E., and T. G. Shepherd, 1987: An exact local conservation theorem for finite-amplitude disturbances to non-parallel shear flows, with remarks on Hamiltonian structure and on Arnol'd's stability theorems. J. Fluid Mech., 181, 527-565.
    • (1987) J. Fluid Mech. , vol.181 , pp. 527-565
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  • 12
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  • 13
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    • Shepherd, T.G.1
  • 14
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  • 15
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.