메뉴 건너뛰기




Volumn , Issue , 2006, Pages V4-66-V4-79

Point-Vortex Dynamics

Author keywords

[No Author keywords available]

Indexed keywords


EID: 85184533827     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B0-12-512666-2/00485-5     Document Type: Chapter
Times cited : (5)

References (51)
  • 1
    • 0001624803 scopus 로고    scopus 로고
    • The symmetric central configurations of four equal masses
    • A Albouy (1996) The symmetric central configurations of four equal masses. Contemporary Mathematics 198 131-135.
    • (1996) Contemporary Mathematics , vol.198 , pp. 131-135
    • Albouy, A.1
  • 2
    • 0039106109 scopus 로고    scopus 로고
    • Four-vortex motion with zero total circulation and impulse
    • H Aref and MA Stremler (1999) Four-vortex motion with zero total circulation and impulse. Physics of Fluids 11(12), 3704-3715.
    • (1999) Physics of Fluids , vol.11 , Issue.12 , pp. 3704-3715
    • Aref, H.1    Stremler, M.A.2
  • 5
    • 0000002044 scopus 로고    scopus 로고
    • Dynamics of a passive tracer in the velocity field of four identical point-vortices
    • S Boatto and RT Pierrehumbert (1999) Dynamics of a passive tracer in the velocity field of four identical point-vortices. Journal of Fluid Mechanics 394 137-174.
    • (1999) Journal of Fluid Mechanics , vol.394 , pp. 137-174
    • Boatto, S.1    Pierrehumbert, R.T.2
  • 6
    • 1842614844 scopus 로고    scopus 로고
    • Nonlinear stability of a latitudinal ring of point vortices on a non-rotating sphere
    • S Boatto and HE Cabral (2003) Nonlinear stability of a latitudinal ring of point vortices on a non-rotating sphere. SIAM Journal of Applied Mathematics 64 216-230.
    • (2003) SIAM Journal of Applied Mathematics , vol.64 , pp. 216-230
    • Boatto, S.1    Cabral, H.E.2
  • 8
    • 0033474942 scopus 로고    scopus 로고
    • Stability of relative equilibria in the problem of N + 1 vortices
    • 00
    • HE Cabral and DS Schmidt (1999/00) Stability of relative equilibria in the problem of N + 1 vortices. SIAM Journal of Mathematical Analysis 31(2), 231-250.
    • (1999) SIAM Journal of Mathematical Analysis , vol.31 , Issue.2 , pp. 231-250
    • Cabral, H.E.1    Schmidt, D.S.2
  • 10
  • 12
    • 66749183386 scopus 로고    scopus 로고
    • Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains
    • DG Crowdy and JS Marshall (2005) Analytical formulae for the Kirchhoff–Routh path function in multiply connected domains. Proceedings of the Royal Society A 461 2477-2501.
    • (2005) Proceedings of the Royal Society A , vol.461 , pp. 2477-2501
    • Crowdy, D.G.1    Marshall, J.S.2
  • 13
    • 20444423672 scopus 로고    scopus 로고
    • The motion of a point vortex around multiple circular islands
    • DG Crowdy and JS Marshall (2005) The motion of a point vortex around multiple circular islands. Physics of Fluids 17 560-602.
    • (2005) Physics of Fluids , vol.17 , pp. 560-602
    • Crowdy, D.G.1    Marshall, J.S.2
  • 14
    • 0022113187 scopus 로고
    • The stability and energetics of co-rotating uniform vortices
    • DG Dritschel (1985) The stability and energetics of co-rotating uniform vortices. Journal of Fluid Mechanics 157 95-134.
    • (1985) Journal of Fluid Mechanics , vol.157 , pp. 95-134
    • Dritschel, D.G.1
  • 16
    • 0346108449 scopus 로고    scopus 로고
    • Symmetry and bifurcations of planar configurations of the N-body and other problems
    • K Glass (2000) Symmetry and bifurcations of planar configurations of the N-body and other problems. Dynamics and Stability of Systems 15(2), 59-73.
    • (2000) Dynamics and Stability of Systems , vol.15 , Issue.2 , pp. 59-73
    • Glass, K.1
  • 17
    • 0000973872 scopus 로고
    • Dipole formation and collisions in a stratified fluid
    • GJF van Heijst and JB Flor (1989) Dipole formation and collisions in a stratified fluid. Nature 340 212-215.
    • (1989) Nature , vol.340 , pp. 212-215
    • van Heijst, G.J.F.1    Flor, J.B.2
  • 20
    • 0000001774 scopus 로고
    • On the integrals of the hydrodynamical equations which express vortex motion
    • H von Helmholtz (1858) On the integrals of the hydrodynamical equations which express vortex motion. Philosophical Magazine 4(33), 485-512.
    • (1858) Philosophical Magazine , vol.4 , Issue.33 , pp. 485-512
    • von Helmholtz, H.1
  • 23
    • 0034128593 scopus 로고    scopus 로고
    • Point vortex motion on a sphere with solid boundaries
    • R Kidambi and PK Newton (2000) Point vortex motion on a sphere with solid boundaries. Physical Fluids 12 581-588.
    • (2000) Physical Fluids , vol.12 , pp. 581-588
    • Kidambi, R.1    Newton, P.K.2
  • 26
    • 0000467432 scopus 로고
    • Non-integrability of the 4-vortex system: analytical proof
    • J Koiller and SP Carvalho (1989) Non-integrability of the 4-vortex system: analytical proof. Communications in Mathematical Physics 120(4), 643-652.
    • (1989) Communications in Mathematical Physics , vol.120 , Issue.4 , pp. 643-652
    • Koiller, J.1    Carvalho, S.P.2
  • 27
    • 0000335568 scopus 로고    scopus 로고
    • Passive tracer transport in three-vortex flow
    • L Kuznetsov and GM Zavlasky (2000) Passive tracer transport in three-vortex flow. Physical Review A 61(4), 3777-3792.
    • (2000) Physical Review A , vol.61 , Issue.4 , pp. 3777-3792
    • Kuznetsov, L.1    Zavlasky, G.M.2
  • 28
    • 0035156343 scopus 로고    scopus 로고
    • Relative equilibria of point vortices on the sphere
    • C Lim, J Montaldi and M Roberts (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
  • 29
    • 0008843915 scopus 로고
    • On the motion of vortices in two dimensions. I. Existence of the Kirchhoff–Routh function
    • CC Lin (1941) On the motion of vortices in two dimensions. I. Existence of the Kirchhoff–Routh function. Proceedings of the National Academy of Sciences 27(12), 570-575.
    • (1941) Proceedings of the National Academy of Sciences , vol.27 , Issue.12 , pp. 570-575
    • Lin, C.C.1
  • 30
    • 0008843915 scopus 로고
    • On the motion of vortices in two dimensions. II. Some further investigations on the Kirchhoff–Routh function
    • CC Lin (1941) On the motion of vortices in two dimensions. II. Some further investigations on the Kirchhoff–Routh function. Proceedings of the National Academy Sciences 27(12), 575-577.
    • (1941) Proceedings of the National Academy Sciences , vol.27 , Issue.12 , pp. 575-577
    • Lin, C.C.1
  • 33
    • 0010239177 scopus 로고
    • Floating magnetics
    • AM Mayer (1878) Floating magnetics. Nature 17 487-488.
    • (1878) Nature , vol.17 , pp. 487-488
    • Mayer, A.M.1
  • 35
    • 77956710557 scopus 로고
    • On the morphological laws of the configurations formed by magnets floating vertically and subjected to the attraction of a superposed magnetic
    • AM Mayer (1878) On the morphological laws of the configurations formed by magnets floating vertically and subjected to the attraction of a superposed magnetic. American Journal of Science 16 247-256.
    • (1878) American Journal of Science , vol.16 , pp. 247-256
    • Mayer, A.M.1
  • 39
    • 0000064684 scopus 로고
    • Anticyclonic Eddy X91 in the Southern Bay of Biscay
    • RD Pingree and B Le Cann (1992) Anticyclonic Eddy X91 in the Southern Bay of Biscay. Journal of Geophysical Research 97 14353-14362.
    • (1992) Journal of Geophysical Research , vol.97 , pp. 14353-14362
    • Pingree, R.D.1    Le Cann, B.2
  • 40
  • 41
    • 18144399840 scopus 로고    scopus 로고
    • Diagonal defect measures, adhesion dynamics and Euler equation
    • F Poupaud (2002) Diagonal defect measures, adhesion dynamics and Euler equation. Methods and Applications of Analysis 9(4), 533-562.
    • (2002) Methods and Applications of Analysis , vol.9 , Issue.4 , pp. 533-562
    • Poupaud, F.1
  • 42
    • 0025431578 scopus 로고
    • An analytical study of transport, mixing and chaos in an unsteady vortical flow
    • V Rom-Kedar, A Leonard and S Wiggins (1990) An analytical study of transport, mixing and chaos in an unsteady vortical flow. Journal of Fluid Mechanics 214 347-394.
    • (1990) Journal of Fluid Mechanics , vol.214 , pp. 347-394
    • Rom-Kedar, V.1    Leonard, A.2    Wiggins, S.3
  • 44
    • 4344652759 scopus 로고    scopus 로고
    • Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices
    • T Sakajo (2004) Transition of global dynamics of a polygonal vortex ring on a sphere with pole vortices. Physica D 196 243-264.
    • (2004) Physica D , vol.196 , pp. 243-264
    • Sakajo, T.1
  • 45
    • 0001257746 scopus 로고
    • The weak vorticity formulation of the 2-D Euler equations and concentration-cancellation
    • S Schochet (1995) The weak vorticity formulation of the 2-D Euler equations and concentration-cancellation. Communications in Partial Differential Equations 20(5&6), 1077-1104.
    • (1995) Communications in Partial Differential Equations , vol.20 , Issue.5-6 , pp. 1077-1104
    • Schochet, S.1
  • 46
    • 0037054622 scopus 로고    scopus 로고
    • Periodic motion of vortices on surfaces with symmetries
    • A Soulière and T Tokieda (2002) Periodic motion of vortices on surfaces with symmetries. Journal of Fluid Mechanics 460 83-92.
    • (2002) Journal of Fluid Mechanics , vol.460 , pp. 83-92
    • Soulière, A.1    Tokieda, T.2
  • 50
    • 0001402296 scopus 로고
    • Observation of stationary vortices arrays in rotating superfluid helium
    • EJ Yarmchuk, MJV Gordon and RE Packard (1979) Observation of stationary vortices arrays in rotating superfluid helium. Physical Review Letters 43(3), 214-217.
    • (1979) Physical Review Letters , vol.43 , Issue.3 , pp. 214-217
    • Yarmchuk, E.J.1    Gordon, M.J.V.2    Packard, R.E.3
  • 51
    • 0001427222 scopus 로고
    • Quasi-periodic motions of vortex systems
    • (addendum to K M Khanin)
    • SL Ziglin (1982) Quasi-periodic motions of vortex systems. Physica D 4 261-269. (addendum to K M Khanin)
    • (1982) Physica D , vol.4 , pp. 261-269
    • Ziglin, S.L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.