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Volumn 461, Issue 2060, 2005, Pages 2477-2501

Analytical formulae for the Kirchhoff-Routh path function in multiply connected domains

Author keywords

Hamiltonian; Kirchhoff Routh; Point vortex

Indexed keywords

CONFORMAL MAPPING; DIFFERENTIAL EQUATIONS; FLUID DYNAMICS; GREEN'S FUNCTION; MEATS; VORTEX FLOW;

EID: 66749183386     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2005.1492     Document Type: Article
Times cited : (98)

References (27)
  • 3
    • 0009146101 scopus 로고
    • Cambridge: Cambridge University Press
    • Baker, H. 1995 Abelian functions. Cambridge: Cambridge University Press.
    • (1995) Abelian functions
    • Baker, H.1
  • 5
    • 20444423672 scopus 로고    scopus 로고
    • The motion of a point vortex around multiple circular islands
    • Crowdy, D. G. and Marshall, J. S. 2005 The motion of a point vortex around multiple circular islands. Phys. Fluids. 17, 056602.
    • (2005) Phys. Fluids , vol.17 , pp. 056602
    • Crowdy, D.G.1    Marshall, J.S.2
  • 6
    • 0033443379 scopus 로고    scopus 로고
    • Numerical conformal mapping of multiplyconnected regions by Fornberg-like methods
    • DeLillo, T. K., Horn, M. A. and Pfaltzgraff, J. A. 1999 Numerical conformal mapping of multiplyconnected regions by Fornberg-like methods. Numerische Math. 83, 205-230.
    • (1999) Numerische Math , vol.83 , pp. 205-230
    • DeLillo, T.K.1    Horn, M.A.2    Pfaltzgraff, J.A.3
  • 7
    • 0036812240 scopus 로고    scopus 로고
    • Baroclinic eddy interaction with isolated topography
    • Dewar, W. K. 2002 Baroclinic eddy interaction with isolated topography. J. Phys. Oceanogr. 32, 2789-2805.
    • (2002) J. Phys. Oceanogr , vol.32 , pp. 2789-2805
    • Dewar, W.K.1
  • 12
    • 1642525852 scopus 로고    scopus 로고
    • The motion of a vortex near two circular cylinders
    • doi:10.1098/rspa.2003.1193
    • Johnson, E. R. and McDonald, N. R. 2004 The motion of a vortex near two circular cylinders. Proc. R. Soc. A 460, 939-954. (doi:10.1098/rspa.2003.1193.)
    • (2004) Proc. R. Soc. A , vol.460 , pp. 939-954
    • Johnson, E.R.1    McDonald, N.R.2
  • 13
    • 1542347814 scopus 로고    scopus 로고
    • The motion of a vortex near a gap in a wall
    • Johnson, E. R. and McDonald, N. R. 2004b The motion of a vortex near a gap in a wall. Phys. Fluids 16, 462-469.
    • (2004) Phys. Fluids , vol.16 , pp. 462-469
    • Johnson, E.R.1    McDonald, N.R.2
  • 14
    • 14844361341 scopus 로고    scopus 로고
    • Vortices near barriers with multiple gaps
    • Johnson, E. R. and McDonald, N. R. 2005 Vortices near barriers with multiple gaps. J. Fluid Mech. 31, 355-358.
    • (2005) J. Fluid Mech , vol.31 , pp. 355-358
    • Johnson, E.R.1    McDonald, N.R.2
  • 15
    • 0008843915 scopus 로고
    • On the motion of vortices in two dimensions. I. Existence of the Kirchhoff-Routh function
    • Lin, C. C. 1941a On the motion of vortices in two dimensions. I. Existence of the Kirchhoff-Routh function. Proc. Natl Acad. Sci. 27, 570-575.
    • (1941) Proc. Natl Acad. Sci , vol.27 , pp. 570-575
    • Lin, C.C.1
  • 16
    • 0008843915 scopus 로고
    • On the motion of vortices in two dimensions. II. Some further investigations on the Kirchhoff-Routh function
    • Lin, C. C. 1941b On the motion of vortices in two dimensions. II. Some further investigations on the Kirchhoff-Routh function. Proc. Natl Acad. Sci. 27, 575-577.
    • (1941) Proc. Natl Acad. Sci , vol.27 , pp. 575-577
    • Lin, C.C.1
  • 21
    • 0001370856 scopus 로고
    • Choked flows from the Pacific to the Indian Ocean
    • Nof, D. 1995 Choked flows from the Pacific to the Indian Ocean. J. Phys. Oceanogr. 25, 1369.
    • (1995) J. Phys. Oceanogr , vol.25 , pp. 1369
    • Nof, D.1
  • 22
    • 84972437614 scopus 로고
    • Vortices, Liouville's equation and the Bergman kernel function
    • Richardson, S. 1980 Vortices, Liouville's equation and the Bergman kernel function. Mathematika 27, 321-334.
    • (1980) Mathematika , vol.27 , pp. 321-334
    • Richardson, S.1
  • 23
    • 0001952319 scopus 로고
    • Some applications of conjugate functions
    • Routh, E. J. 1881 Some applications of conjugate functions. Proc. R. Soc. A 12, 73-89.
    • (1881) Proc. R. Soc. A , vol.12 , pp. 73-89
    • Routh, E.J.1
  • 24
    • 85041150744 scopus 로고
    • Cambridge: Cambridge University Press
    • Saffman, P. G. 1992 Vortex dynamics. Cambridge: Cambridge University Press.
    • (1992) Vortex dynamics
    • Saffman, P.G.1
  • 25
    • 0034470225 scopus 로고    scopus 로고
    • Islands as eddy splitters
    • Simmons, H. L. and Nof, D. 2000 Islands as eddy splitters. J. Mar. Res. 58, 919-956.
    • (2000) J. Mar. Res , vol.58 , pp. 919-956
    • Simmons, H.L.1    Nof, D.2
  • 26
    • 0036339871 scopus 로고    scopus 로고
    • The squeezing of eddies through gaps
    • Simmons, H. L. and Nof, D. 2002 The squeezing of eddies through gaps. J. Phys. Oceanogr. 32, 314.
    • (2002) J. Phys. Oceanogr , vol.32 , pp. 314
    • Simmons, H.L.1    Nof, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.