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Volumn 455, Issue 1981, 1999, Pages 245-259

Vortex motion on surfaces with constant curvature

Author keywords

Geodesic; Hamiltonian; Hyperbolic plane; Laplacian; Sphere; Vortex motion

Indexed keywords


EID: 0000885028     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0311     Document Type: Article
Times cited : (92)

References (17)
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  • 6
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    • (1963) New York: Dover.
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  • 7
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    • Stability of streets of vortices on surfaces of revolution with a reflection symmetry
    • Hally, D. 1980 Stability of streets of vortices on surfaces of revolution with a reflection symmetry. J. Math. Phys. 21, 211-217.
    • (1980) J. Math. Phys. , vol.21 , pp. 211-217
    • Hally, D.1
  • 8
    • 84943471869 scopus 로고
    • Über Integrale der hydrodynamishen Gleichungen, welche den Wirbelbewegungen entsprechen
    • Helmholtz, H. 1858 Über Integrale der hydrodynamishen Gleichungen, welche den Wirbelbewegungen entsprechen. J. Reine Ang. Math. 55, 25-55.
    • (1858) J. Reine Ang. Math. , vol.55 , pp. 25-55
    • Helmholtz, H.1
  • 9
    • 77952966862 scopus 로고
    • Similarity solution of two-dimensional point vortices
    • Kimura, Y. 1987 Similarity solution of two-dimensional point vortices. J. Phys. Soc. Jap. 56, 2024-2030.
    • (1987) J. Phys. Soc. Jap. , vol.56 , pp. 2024-2030
    • Kimura, Y.1
  • 10
    • 0013229599 scopus 로고
    • Vortex motion on a sphere
    • Kimura, Y. & Okamoto, H. 1987 Vortex motion on a sphere. J. Phys. Soc. Jap. 56, 4203-4206.
    • (1987) J. Phys. Soc. Jap. , vol.56 , pp. 4203-4206
    • Kimura, Y.1    Okamoto, H.2
  • 11
    • 33746457713 scopus 로고
    • Vorlesungen über Matematische Physik, Mechanik, lecture 20
    • Kirchhoff, G. 1877 Vorlesungen über Matematische Physik, Mechanik, lecture 20. Leipzig: Teubner.
    • (1877) Leipzig: Teubner.
    • Kirchhoff, G.1
  • 12
  • 15
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    • Dynamics and statistics of a system of vortices
    • Novikov, E. A. 1975 Dynamics and statistics of a system of vortices. Sov. Phys. JETP 41, 937-943.
    • (1975) Sov. Phys. JETP , vol.41 , pp. 937-943
    • Novikov, E.A.1
  • 16
    • 0000948011 scopus 로고
    • Stochastic properties of a four-vortex system
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    • (1978) Sov. Phys. JETP , vol.48 , pp. 440-444
    • Novikov, E.A.1    Sedov, Y.B.2
  • 17
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    • Lecture notes on elementary topology and geometry, ch. 7
    • Singer, I. M. & Thorpe, J. A. 1976 Lecture notes on elementary topology and geometry, ch. 7. New York: Springer.
    • (1976) New York: Springer.
    • Singer, I.M.1    Thorpe, J.A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.