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Volumn 356, Issue , 1998, Pages 221-257

On the application of the Kelvin-Arnol'd energy principle to the stability of forced two-dimensional inviscid flows

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROSTATICS; ENERGY TRANSFER; EQUATIONS OF MOTION; FUNCTIONS; MAGNETIC FIELD EFFECTS; MAGNETOHYDRODYNAMICS; PERTURBATION TECHNIQUES; THERMODYNAMIC STABILITY;

EID: 0032501936     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097007854     Document Type: Article
Times cited : (8)

References (16)
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    • On an a priori estimate in the theory of hydrodynamic stability
    • ARNOL'D, V. I. 1966a On an a priori estimate in the theory of hydrodynamic stability. Izv. Vyssh. Ucheb. Zaved. Matem. 54, 3-5 (translated in Am. Math. Soc. transl., ser. 2, 79, 267-269, 1969).
    • (1966) Izv. Vyssh. Ucheb. Zaved. Matem. , vol.54 , pp. 3-5
    • Arnol'd, V.I.1
  • 2
    • 0000945983 scopus 로고
    • translated ser. 2
    • ARNOL'D, V. I. 1966a On an a priori estimate in the theory of hydrodynamic stability. Izv. Vyssh. Ucheb. Zaved. Matem. 54, 3-5 (translated in Am. Math. Soc. transl., ser. 2, 79, 267-269, 1969).
    • (1969) Am. Math. Soc. Transl. , vol.79 , pp. 267-269
  • 3
    • 0005210949 scopus 로고
    • Sur un principe variationnel pour les ecoulements stationnaires des liquides parfaits et ses applications aux problèmes de stabilité non linéaires
    • ARNOL'D, V. I. 1966b Sur un principe variationnel pour les ecoulements stationnaires des liquides parfaits et ses applications aux problèmes de stabilité non linéaires. J. Méc. 5, 29-43.
    • (1966) J. Méc. , vol.5 , pp. 29-43
    • Arnol'd, V.I.1
  • 4
    • 0028519365 scopus 로고
    • Global stability of two-dimensional and axisymmetric Euler flows
    • DAVIDSON, P. A. 1994 Global stability of two-dimensional and axisymmetric Euler flows. J. Fluid Mech. 276, 273-305.
    • (1994) J. Fluid Mech. , vol.276 , pp. 273-305
    • Davidson, P.A.1
  • 5
    • 84963255266 scopus 로고
    • Nonlinear stability for stratified magnetohydrodynamics
    • FRIEDLANDER, S. & VISHIK, M. M. 1990 Nonlinear stability for stratified magnetohydrodynamics. Geophys. Astrophys. Fluid Dyn. 55, 19-45.
    • (1990) Geophys. Astrophys. Fluid Dyn. , vol.55 , pp. 19-45
    • Friedlander, S.1    Vishik, M.M.2
  • 6
    • 0002245635 scopus 로고
    • Nonlinear stability of fluid and plasma equilibria
    • HOLM, D. D., MARSDEN, J. E., RATIU, T. & WEINSTEIN, A. 1985 Nonlinear stability of fluid and plasma equilibria. Phys. Rep. 123, 1-116.
    • (1985) Phys. Rep. , vol.123 , pp. 1-116
    • Holm, D.D.1    Marsden, J.E.2    Ratiu, T.3    Weinstein, A.4
  • 7
    • 0000467603 scopus 로고
    • Stability of steady and of periodic fluid motion
    • KELVIN, LORD 1887 Stability of steady and of periodic fluid motion. Phil. Mag. 23, 529-539.
    • (1887) Phil. Mag. , vol.23 , pp. 529-539
    • Kelvin, L.1
  • 10
    • 0023116262 scopus 로고
    • 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. & SHEPHERD, T. C. 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
    • Mcintyre, M.E.1    Shepherd, T.C.2
  • 11
    • 0022717413 scopus 로고
    • Magnetostatic equilibria and analogous Euler flows of arbitrary complex topology. Part 2. Stability consideration
    • MOFFATT, H. K. 1986 Magnetostatic equilibria and analogous Euler flows of arbitrary complex topology. Part 2. Stability consideration. J. Fluid Mech. 166, 359-378.
    • (1986) J. Fluid Mech. , vol.166 , pp. 359-378
    • Moffatt, H.K.1
  • 12
    • 0040066399 scopus 로고
    • Extremal properties and Hamiltonian structure of the Euler equations
    • (ed. H. K. Moffatt, G. M. Zaslevsky, P, Compte & M. Tabor). Kluwer
    • SHEPHERD, T. G. 1992 Extremal properties and Hamiltonian structure of the Euler equations.In Topological Aspects of Dynamics of Fluids and Plasmas (ed. H. K. Moffatt, G. M. Zaslevsky, P, Compte & M. Tabor). Kluwer.
    • (1992) Topological Aspects of Dynamics of Fluids and Plasmas
    • Shepherd, T.G.1
  • 13
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    • Extremal energy properties and construction of stable solutions of the Euler equations
    • VALLIS, G. K., CARNEVALE, G. F. & YOUNG, W. R. 1989 Extremal energy properties and construction of stable solutions of the Euler equations. J. Fluid Mech. 209, 133-152.
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    • Vallis, G.K.1    Carnevale, G.F.2    Young, W.R.3
  • 15
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    • General transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows
    • VLADIMIROV, V. A., MOFFATT, H. K. & ILLIN, K. I. 1996 General transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows. J. Fluid Mech. 329, 187-205.
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    • Vladimirov, V.A.1    Moffatt, H.K.2    Illin, K.I.3
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    • VLADIMIROV, V. A., MOFFATT, H. K. & ILLIN, K. I. 1997 General transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria for axisymmetric flows. J. Plasma Phys. 57, 89.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.