메뉴 건너뛰기




Volumn 22, Issue 6, 1999, Pages 793-802

Stability of relative equilibria of point vortices on a sphere and symplectic integrators

Author keywords

[No Author keywords available]

Indexed keywords


EID: 2242442567     PISSN: 20374909     EISSN: 18269885     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (13)

References (20)
  • 1
    • 0000001774 scopus 로고
    • On integrals of the hydrodynamical equations which express vortex-motion
    • HELMHOLTZ H., On integrals of the hydrodynamical equations which express vortex-motion, Transl. P.G. Tait, Philos. Mag., 33 (1867) 485-512.
    • (1867) Transl. P.G. Tait, Philos. Mag. , vol.33 , pp. 485-512
    • Helmholtz, H.1
  • 3
    • 0039955832 scopus 로고
    • Gröbli's solution of the three-vortex problem
    • AREF H., ROTT N. and THOMANN H., Gröbli's solution of the three-vortex problem, Annu. Rev. Fluid Mech., 24 (1992) 1-20.
    • (1992) Annu. Rev. Fluid Mech. , vol.24 , pp. 1-20
    • Aref, H.1    Rott, N.2    Thomann, H.3
  • 4
    • 0000134383 scopus 로고    scopus 로고
    • Motion of three point vortices on a sphere
    • KIDAMBI R. and NEWTON P., Motion of three point vortices on a sphere, Physica D, 116 (1998) 143-175.
    • (1998) Physica D , vol.116 , pp. 143-175
    • Kidambi, R.1    Newton, P.2
  • 5
    • 48749149748 scopus 로고
    • Coadjoint orbits, vortices and Clebsch variables for incompressible fluids
    • MARSDEN J. and WEINSTEIN A., Coadjoint orbits, vortices and Clebsch variables for incompressible fluids, Physica D, 7 (1983) 305-323.
    • (1983) Physica D , vol.7 , pp. 305-323
    • Marsden, J.1    Weinstein, A.2
  • 6
    • 0003356898 scopus 로고    scopus 로고
    • Topological Methods in Hydrodynamics
    • Spring-Verlag
    • ARNOLD V. I. and KHESIN B. A., Topological Methods in Hydrodynamics, Appl. Math. Sci., Vol. 125 (Spring-Verlag) 1998.
    • (1998) Appl. Math. Sci. , vol.125
    • Arnold, V.I.1    Khesin, B.A.2
  • 8
    • 0032358932 scopus 로고    scopus 로고
    • Point vortices on a sphere: Stability of relative equilibria
    • PEKARSKY S. and MARSDEN J. E., Point vortices on a sphere: stability of relative equilibria, to be published in J. Math. Phys., 39 (1998) 5894-5907.
    • (1998) J. Math. Phys. , vol.39 , pp. 5894-5907
    • Pekarsky, S.1    Marsden, J.E.2
  • 9
    • 0000740593 scopus 로고    scopus 로고
    • Rotating n-gomkn-gon vortex configurations
    • LEWIS D. K. and RATIU T. S., Rotating n-gomkn-gon vortex configurations, J. Nonlin. Sci., 6 (1996) 385-414.
    • (1996) J. Nonlin. Sci. , vol.6 , pp. 385-414
    • Lewis, D.K.1    Ratiu, T.S.2
  • 10
    • 0002985376 scopus 로고
    • Stability of relative equilibria, part 1: The reduced energy-momentum method
    • SIMO J. C., LEWIS D. and MARSDEN J. E., Stability of relative equilibria, part 1: the reduced energy-momentum method, Arch. Rational Mech. Anal., 115 (1991) 15-59.
    • (1991) Arch. Rational Mech. Anal. , vol.115 , pp. 15-59
    • Simo, J.C.1    Lewis, D.2    Marsden, J.E.3
  • 11
    • 0001719339 scopus 로고
    • Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space
    • PATRICK G., Relative equilibria in Hamiltonian systems: The dynamic interpretation of nonlinear stability on a reduced phase space, J. Geom. Phys., 9 (1992) 111-119.
    • (1992) J. Geom. Phys. , vol.9 , pp. 111-119
    • Patrick, G.1
  • 12
    • 0000507738 scopus 로고
    • On the motion of three vortices
    • SYNGE J. L., On the motion of three vortices, Can. J, Math., 1 (1949) 257-270.
    • (1949) Can. J, Math. , vol.1 , pp. 257-270
    • Synge, J.L.1
  • 14
    • 0002859047 scopus 로고
    • Integrable discrete-time systems and difference operators
    • VESELOV A. P., Integrable discrete-time systems and difference operators, Funk. Anal, Prilozhen., 22 (1988) 1-13.
    • (1988) Funk. Anal, Prilozhen. , vol.22 , pp. 1-13
    • Veselov, A.P.1
  • 15
    • 0001189154 scopus 로고
    • Integrable Lagrangian correspondences and the factorization of matrix polynomials
    • VESELOV A. P., Integrable Lagrangian correspondences and the factorization of matrix polynomials. Funk. Anal. Prilozhen., 25 (1991) 38-49.
    • (1991) Funk. Anal. Prilozhen. , vol.25 , pp. 38-49
    • Veselov, A.P.1
  • 16
    • 0032476963 scopus 로고    scopus 로고
    • Multisymplectic geometry, variational integrators, and nonlinear pdes
    • MARSDEN J. E., PATRICK G. and SHKOLLER S., Multisymplectic geometry, variational integrators, and nonlinear pdes, to be published in Commun. Math. Phys., 199 (1998) 351-395.
    • (1998) Commun. Math. Phys. , vol.199 , pp. 351-395
    • Marsden, J.E.1    Patrick, G.2    Shkoller, S.3
  • 17
    • 2242424126 scopus 로고    scopus 로고
    • Symmetry reduction of discrete Lagrangian mechanics on Lie groups
    • MARSDEN J. E., PEKARSKY S. and SHKOLLER S., Symmetry reduction of discrete Lagrangian mechanics on Lie groups, submitted to Commun. Math, Phys., 1999.
    • (1999) Commun. Math, Phys.
    • Marsden, J.E.1    Pekarsky, S.2    Shkoller, S.3
  • 19
    • 0033228880 scopus 로고    scopus 로고
    • Discrete Euler-Poincaré and Lie-Poisson equations
    • MARSDEN J. E., PEKARSKY S. and SHKOLLER S., Discrete Euler-Poincaré and Lie-Poisson equations, to be published in Nonlinearity, 1999.
    • (1999) Nonlinearity
    • Marsden, J.E.1    Pekarsky, S.2    Shkoller, S.3
  • 20
    • 0000008977 scopus 로고
    • Discrete versions of some classical integrable systems and factorization of matrix polynomials
    • MOSER J. and VESELOV A. P., Discrete versions of some classical integrable systems and factorization of matrix polynomials. Commun. Math. Phys., 139 (1991) 217-243.
    • (1991) Commun. Math. Phys. , vol.139 , pp. 217-243
    • Moser, J.1    Veselov, A.P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.