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Volumn 329, Issue , 1996, Pages 187-205

On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 2. Stability criteria for two-dimensional flows

Author keywords

[No Author keywords available]

Indexed keywords

LYAPUNOV METHODS; MAGNETIC FIELDS; MAGNETOHYDRODYNAMICS; PARTIAL DIFFERENTIAL EQUATIONS; VARIATIONAL TECHNIQUES;

EID: 0030484006     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112096008890     Document Type: Article
Times cited : (31)

References (14)
  • 1
    • 0001143780 scopus 로고
    • On the conditions of nonlinear stability of plane curvilinear flows of an ideal fluid
    • ARNOLD V. I. 1965 On the conditions of nonlinear stability of plane curvilinear flows of an ideal fluid. Dokl. Acad. Nauk SSSR 162, No. 5, 975-978 (English translation: Sov. Maths 6, 773-777).
    • (1965) Dokl. Acad. Nauk SSSR , vol.162 , Issue.5 , pp. 975-978
    • Arnold, V.I.1
  • 2
    • 0001687530 scopus 로고    scopus 로고
    • English translation
    • ARNOLD V. I. 1965 On the conditions of nonlinear stability of plane curvilinear flows of an ideal fluid. Dokl. Acad. Nauk SSSR 162, No. 5, 975-978 (English translation: Sov. Maths 6, 773-777).
    • Sov. Maths , vol.6 , pp. 773-777
  • 3
    • 0002771146 scopus 로고
    • On an a priori estimate in the theory of hydrodynamic stability
    • ARNOLD, V. I. 1966 On an a priori estimate in the theory of hydrodynamic stability. Izv. Vyssh. Uchebn. Zaved. Matematika 54, No. 5, 3-5 (English translation: Am. Math. Soc. Transl, Ser. 2, 79, 267-269).
    • (1966) Izv. Vyssh. Uchebn. Zaved. Matematika , vol.54 , Issue.5 , pp. 3-5
    • Arnold, V.I.1
  • 4
    • 0000945983 scopus 로고    scopus 로고
    • English translation
    • ARNOLD, V. I. 1966 On an a priori estimate in the theory of hydrodynamic stability. Izv. Vyssh. Uchebn. Zaved. Matematika 54, No. 5, 3-5 (English translation: Am. Math. Soc. Transl, Ser. 2, 79, 267-269).
    • Am. Math. Soc. Transl, Ser. 2 , vol.79 , pp. 267-269
  • 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
    • 84918387201 scopus 로고
    • On the hydrodynamic and hydromagnetic stability of swirling flows
    • HOWARD, L. N. & GUPTA, A. S. 1962 On the hydrodynamic and hydromagnetic stability of swirling flows. J. Fluid Mech. 14, 463-476.
    • (1962) J. Fluid Mech. , vol.14 , pp. 463-476
    • Howard, L.N.1    Gupta, A.S.2
  • 8
    • 0014441553 scopus 로고
    • The degree of knottedness of tangled vortex lines
    • MOFFATT, H. K. 1969 The degree of knottedness of tangled vortex lines. J. Fluid Mech. 35, 117-129.
    • (1969) J. Fluid Mech. , vol.35 , pp. 117-129
    • Moffatt, H.K.1
  • 9
    • 0001620581 scopus 로고
    • On the dynamics of revolving fluids
    • also Scientific Papers, vol. 6, p. 447
    • RAYLEIGH, LORD 1916 On the dynamics of revolving fluids. Proc. R. Soc. Lond. A 93, 148 (also Scientific Papers, vol. 6, p. 447).
    • (1916) Proc. R. Soc. Lond. A , vol.93 , pp. 148
    • Rayleigh, L.1
  • 10
    • 0027464079 scopus 로고
    • Invariants of dissipationless hydrodynamic media
    • TUR, A. V. & YANOVSKY, V. V. 1993 Invariants of dissipationless hydrodynamic media. J. Fluid Mech. 248, 67-106.
    • (1993) J. Fluid Mech. , vol.248 , pp. 67-106
    • Tur, A.V.1    Yanovsky, V.V.2
  • 11
    • 0022063468 scopus 로고
    • Analogy between density stratification and rotation effects
    • transl, from Russian
    • VLADIMIROV, V. A. 1985a Analogy between density stratification and rotation effects. J. Appl. Mech. Tech. Phys. 26, No.3, 353-362 (transl, from Russian).
    • (1985) J. Appl. Mech. Tech. Phys. , vol.26 , Issue.3 , pp. 353-362
    • Vladimirov, V.A.1
  • 12
    • 0042619176 scopus 로고
    • An example of the equivalence between density stratification and rotation
    • transl. from Russian
    • VLADIMIROV, V. A. 1985b An example of the equivalence between density stratification and rotation. Sov. Phys. Dokl. 30(9), 748-750 (transl. from Russian).
    • (1985) Sov. Phys. Dokl. , vol.30 , Issue.9 , pp. 748-750
    • Vladimirov, V.A.1
  • 13
    • 0028992011 scopus 로고
    • On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 1. Fundamental principles
    • VLADIMIROV, V. A. & MOFFATT, H. K. 1995 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part 1. Fundamental principles. J. Fluid Mech. 283, 125-139.
    • (1995) J. Fluid Mech. , vol.283 , pp. 125-139
    • Vladimirov, V.A.1    Moffatt, H.K.2
  • 14
    • 2542635932 scopus 로고    scopus 로고
    • On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria for axisymmetric flows
    • to appear
    • VLADIMIROV, V. A., MOFFATT, H. K. & ILIN, K. I. 1996 On general transformations and variational principles for the magnetohydrodynamics of ideal fluids. Part III. Stability criteria for axisymmetric flows. J. Plasma Phys. (to appear).
    • (1996) J. Plasma Phys.
    • Vladimirov, V.A.1    Moffatt, H.K.2    Ilin, K.I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.