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Volumn 15, Issue 1, 2002, Pages 143-171

Point vortices on the sphere: A case with opposite vorticities

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EID: 0042385076     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/15/1/307     Document Type: Article
Times cited : (41)

References (31)
  • 1
    • 0010407190 scopus 로고
    • Point vortex motion with a center of symmetry
    • [Ar82]
    • [Ar82] Aref H 1982 Point vortex motion with a center of symmetry Phys. Fluids 25 2183-7
    • (1982) Phys. Fluids , vol.25 , pp. 2183-2187
    • Aref, H.1
  • 2
    • 0020496938 scopus 로고
    • Integrable, chaotic and turbulent vortex motion in two-dimensionnal flows
    • [Ar83a]
    • [Ar83a] Aref H 1983 Integrable, chaotic and turbulent vortex motion in two-dimensionnal flows Ann. Rev. Fluid Mech. 15 345-89
    • (1983) Ann. Rev. Fluid Mech. , vol.15 , pp. 345-389
    • Aref, H.1
  • 3
    • 0028976678 scopus 로고
    • The equilibrium and stability of a row of point vortices
    • [Ar83b]
    • [Ar83b] Aref H 1983 The equilibrium and stability of a row of point vortices J. Fluid Mech. 290 167-81
    • (1983) J. Fluid Mech. , vol.290 , pp. 167-181
    • Aref, H.1
  • 4
    • 0032560203 scopus 로고    scopus 로고
    • Asymmetric equilibrium patterns of point vortices
    • [AV98]
    • [AV98] Aref H and Vainchtein C 1998 Asymmetric equilibrium patterns of point vortices Nature 392 769-70
    • (1998) Nature , vol.392 , pp. 769-770
    • Aref, H.1    Vainchtein, C.2
  • 5
    • 0017559109 scopus 로고
    • Dynamics of vorticity at a sphere
    • [B77]
    • [B77] Bogomolov V 1977 Dynamics of vorticity at a sphere Fluid Dyn. 6 863-70
    • (1977) Fluid Dyn. , vol.6 , pp. 863-870
    • Bogomolov, V.1
  • 6
    • 0003300445 scopus 로고    scopus 로고
    • Methods in equivariant bifurcation and dynamical systems
    • [CL00] (Singapore: World Scientific)
    • [CL00] Chossat P and Lauterbach R 2000 Methods in Equivariant Bifurcation and Dynamical Systems (Advanced Series in Nonlinear Dynamics vol 15) (Singapore: World Scientific)
    • (2000) Advanced Series in Nonlinear Dynamics , vol.15
    • Chossat, P.1    Lauterbach, R.2
  • 7
    • 0001579093 scopus 로고
    • Energies and spacings of point charges on a sphere
    • [GE92]
    • [GE92] Glasser L and Every A 1992 Energies and spacings of point charges on a sphere J. Phys. A: Math. Gen. 25 2473-82
    • (1992) J. Phys. A: Math. Gen. , vol.25 , pp. 2473-2482
    • Glasser, L.1    Every, A.2
  • 9
    • 0000001774 scopus 로고
    • On integrals of the hydrodynamical equations which express vortex motion
    • [H]
    • [H] Helmholtz H 1867 On integrals of the hydrodynamical equations which express vortex motion Phil. Mag. 33 485-512
    • (1867) Phil. Mag. , vol.33 , pp. 485-512
    • Helmholtz, H.1
  • 10
    • 0000134383 scopus 로고    scopus 로고
    • Motion of three point vortices on a sphere
    • [KN98]
    • [KN98] Kidambi R and Newton P 1998 Motion of three point vortices on a sphere Physica D 116 143-75
    • (1998) Physica D , vol.116 , pp. 143-175
    • Kidambi, R.1    Newton, P.2
  • 11
    • 2242425354 scopus 로고    scopus 로고
    • Collapse of three vortices on a sphere
    • [KN99]
    • [KN99] Kidambi R and Newton P 1999 Collapse of three vortices on a sphere Nuovo Cimenta 22 779-91
    • (1999) Nuovo Cimenta , vol.22 , pp. 779-791
    • Kidambi, R.1    Newton, P.2
  • 12
    • 0009267657 scopus 로고    scopus 로고
    • Relative equilibria at singular points of the momentum map
    • [LS98]
    • [LS98] Lerman E and Singer S 1998 Relative equilibria at singular points of the momentum map Nonlinearity 11 1637-49
    • (1998) Nonlinearity , vol.11 , pp. 1637-1649
    • Lerman, E.1    Singer, S.2
  • 13
    • 0000740593 scopus 로고    scopus 로고
    • Rotating n-gon/kn-gon vortex configurations
    • [LR96]
    • [LR96] Lewis D and Ratiu T 1996 Rotating n-gon/kn-gon vortex configurations J. Nonlinear Sci. 6 385-414
    • (1996) J. Nonlinear Sci. , vol.6 , pp. 385-414
    • Lewis, D.1    Ratiu, T.2
  • 14
    • 0035156343 scopus 로고    scopus 로고
    • Relative equilibria of point vortices on the sphere
    • [LMR01]
    • [LMR01] Lim C, Montaldi J and Roberts M 2001 Relative equilibria of point vortices on the sphere Physica D 148 97-135
    • (2001) Physica D , vol.148 , pp. 97-135
    • Lim, C.1    Montaldi, J.2    Roberts, M.3
  • 18
    • 2242442567 scopus 로고    scopus 로고
    • Stability of relative equilibria of point vortices on a sphere and symplectic integrators
    • [MPS99]
    • [MPS99] Marsden J, Pekarsky S and Shkoller S 1999 Stability of relative equilibria of point vortices on a sphere and symplectic integrators Nuovo Cimenta 22
    • (1999) Nuovo Cimenta , vol.22
    • Marsden, J.1    Pekarsky, S.2    Shkoller, S.3
  • 19
    • 0010912802 scopus 로고
    • Points critiques des fonctions invariantes sur une
    • [Mi71]
    • [Mi71] Michel L 1971 Points critiques des fonctions invariantes sur une G-variété C. R. Acad. Sci., Paris 272 433-6
    • (1971) G-variété C. R. Acad. Sci., Paris , vol.272 , pp. 433-436
    • Michel, L.1
  • 20
    • 0001463128 scopus 로고    scopus 로고
    • Persistence and stability of relative equilibria
    • [Mo97]
    • [Mo97] Montaldi J 1997 Persistence and stability of relative equilibria Nonlinearity 10 449-66
    • (1997) Nonlinearity , vol.10 , pp. 449-466
    • Montaldi, J.1
  • 21
    • 0001884377 scopus 로고    scopus 로고
    • Relative equilibria of molecules
    • [MoR99]
    • [MoR99] Montaldi J and Roberts M 1999 Relative equilibria of molecules J. Nonlinear Sci. 9 53-88
    • (1999) J. Nonlinear Sci. , vol.9 , pp. 53-88
    • Montaldi, J.1    Roberts, M.2
  • 22
  • 23
    • 0033130424 scopus 로고    scopus 로고
    • Stability of Hamiltonian relative equilibria
    • [OR99]
    • [OR99] Ortega J-P and Ratiu T 1999 Stability of Hamiltonian relative equilibria Nonlinearity 12 693-720
    • (1999) Nonlinearity , vol.12 , pp. 693-720
    • Ortega, J.-P.1    Ratiu, T.2
  • 24
    • 0002783768 scopus 로고
    • Principle of symmetric criticality
    • [P79]
    • [P79] Palais R 1979 Principle of symmetric criticality Commun. Math. Phys. 69 19-30
    • (1979) Commun. Math. Phys. , vol.69 , pp. 19-30
    • Palais, R.1
  • 25
    • 0001719339 scopus 로고
    • Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space
    • [Pa92]
    • [Pa92] Patrick G 1992 Relative equilibria in Hamiltonian systems: the dynamic interpretation of nonlinear stability on a reduced phase space J. Geom. Phys. 9 111-9
    • (1992) J. Geom. Phys. , vol.9 , pp. 111-119
    • Patrick, G.1
  • 26
    • 0032358932 scopus 로고    scopus 로고
    • Point vortices on a sphere: Stability of relative equilibria
    • [PM98]
    • [PM98] Pekarsky S and Marsden J 1998 Point vortices on a sphere: stability of relative equilibria J. Math. Phys. 39 5894-907
    • (1998) J. Math. Phys. , vol.39 , pp. 5894-5907
    • Pekarsky, S.1    Marsden, J.2
  • 27
    • 0027509008 scopus 로고
    • Wave and vortex dynamics on the surface of a sphere
    • [PD93]
    • [PD93] Polvani L and Dritshel D 1993 Wave and vortex dynamics on the surface of a sphere J. Fluid Mech. 255 35-64
    • (1993) J. Fluid Mech. , vol.255 , pp. 35-64
    • Polvani, L.1    Dritshel, D.2
  • 28
    • 85040958017 scopus 로고
    • [Sa92] (Cambridge: Cambridge University Press)
    • [Sa92] Saffman P 1992 Vortex Dynamics (Cambridge: Cambridge University Press)
    • (1992) Vortex Dynamics
    • Saffman, P.1
  • 30
    • 0002985376 scopus 로고
    • Stability of relative equilibria. Part I: The reduced energy momentum method
    • [Si91]
    • [Si91] Simo J, Lewis D and Marsden J 1991 Stability of relative equilibria. Part i: the reduced energy momentum method Arch. Rat. Meca. Anal. 115 15-59
    • (1991) Arch. Rat. Meca. Anal. , vol.115 , pp. 15-59
    • Simo, J.1    Lewis, D.2    Marsden, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.