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Volumn 21, Issue 9, 2009, Pages

Stability of relative equilibria of three vortices

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; STABILITY;

EID: 71049182639     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3216063     Document Type: Conference Paper
Times cited : (34)

References (21)
  • 1
    • 0002826118 scopus 로고
    • "Floating magnets"
    • NATUAS0028-0836 10.1038/018013b0
    • W. Thomson, "Floating magnets," Nature (London) NATUAS0028-0836 18, 13 (1878). 10.1038/018013b0
    • (1878) Nature (London) , vol.18 , pp. 13
    • Thomson, W.1
  • 2
    • 2842571053 scopus 로고
    • (Zürcher und Furrer, Zürich) [W. Gröbli, "Spezielle Probleme über die Bewegung geradliniger paralleler Wirbelfäden," Vierteljahrsschr. Natforsch. Ges. Zur.ZZZZZZ0042-5672 22, 37 (1877); W. Gröbli, Vierteljahrsschr. Natforsch. Ges. Zur.ZZZZZZ0042-567222 129 (1877)]
    • W. Gröbli, Spezielle Probleme über die Bewegung geradliniger paralleler Wirbelfäden (Zürcher und Furrer, Zürich, 1877) [W. Gröbli, "Spezielle Probleme über die Bewegung geradliniger paralleler Wirbelfäden," Vierteljahrsschr. Natforsch. Ges. Zur.ZZZZZZ0042-5672 22, 37 (1877); W. Gröbli, Vierteljahrsschr. Natforsch. Ges. Zur.ZZZZZZ0042-567222, 129 (1877)].
    • (1877) Spezielle Probleme Über Die Bewegung Geradliniger Paralleler Wirbelfäden
    • Gröbli, W.1
  • 3
    • 0000507738 scopus 로고
    • "On the motion of three vortices"
    • CJMAAB0008-414X
    • J. L. Synge, "On the motion of three vortices," Can. J. Math.CJMAAB0008-414X 1, 257 (1949).
    • (1949) Can. J. Math. , vol.1 , pp. 257
    • Synge, J.L.1
  • 4
    • 0001363688 scopus 로고
    • "Motion of three vortices"
    • PFLDAS0031-9171 10.1063/1.862605
    • H. Aref, "Motion of three vortices," Phys. Fluids PFLDAS0031-9171 22, 393 (1979). 10.1063/1.862605
    • (1979) Phys. Fluids , vol.22 , pp. 393
    • Aref, H.1
  • 5
    • 34250613792 scopus 로고    scopus 로고
    • "Studies of perturbed three-vortex dynamics"
    • JMAPAQ0022-2488 10.1063/1.2428272
    • D. Blackmore, L. Ting, and O. Knio, "Studies of perturbed three-vortex dynamics," J. Math. Phys. JMAPAQ0022-2488 48, 065402 (2007). 10.1063/1.2428272
    • (2007) J. Math. Phys. , vol.48 , pp. 065402
    • Blackmore, D.1    Ting, L.2    Knio, O.3
  • 6
    • 84947424864 scopus 로고
    • "The dynamics of three vortices revisited"
    • PFLDAS0031-9171 10.1063/1.866732
    • J. Tavantzis and L. Ting, "The dynamics of three vortices revisited," Phys. Fluids PFLDAS0031-9171 31, 1392 (1988). 10.1063/ 1.866732
    • (1988) Phys. Fluids , vol.31 , pp. 1392
    • Tavantzis, J.1    Ting, L.2
  • 8
    • 71049182804 scopus 로고
    • "AMP: A system for algebraic computations"
    • in Linz, Austria, 1-3 April 1985, Lecture Notes in Computer Science Vol. 204 (Springer, Berlin)
    • J.-M. Drouffe, "AMP: A system for algebraic computations," in EUROCAL '85: European Conference on Computer Algebra, Linz, Austria, 1-3 April 1985, Lecture Notes in Computer Science Vol. 204 (Springer, Berlin, 1985), pp. 157-158.
    • (1985) EUROCAL '85: European Conference on Computer Algebra , vol.204 , pp. 157-158
    • Drouffe, J.-M.1
  • 9
    • 71049165689 scopus 로고
    • "Étude d'écoulements bidimensionnels tourbillonnaires: Mouvement de trois ou quatre tourbillons ponctuels et de nappes tourbillonnaires"
    • Thèse d'État, Université Paris VI
    • R. Conte, "Étude d'écoulements bidimensionnels tourbillonnaires: Mouvement de trois ou quatre tourbillons ponctuels et de nappes tourbillonnaires," Thèse d'État, Université Paris VI, 1979.
    • (1979)
    • Conte, R.1
  • 11
    • 0020496938 scopus 로고
    • "Integrable, chaotic, and turbulent vortex motion in two-dimensional flows"
    • ARVFA30066-4189 10.1146/annurev.fl.15.010183.002021
    • H. Aref, "Integrable, chaotic, and turbulent vortex motion in two-dimensional flows," Annu. Rev. Fluid Mech.ARVFA30066-4189 15, 345 (1983). 10.1146/annurev.fl.15.010183.002021
    • (1983) Annu. Rev. Fluid Mech. , vol.15 , pp. 345
    • Aref, H.1
  • 13
    • 0039727435 scopus 로고
    • "Three-vortex motion with zero total circulation"
    • ZAMPA80044-2275 10.1007/BF00944801
    • N. Rott, "Three-vortex motion with zero total circulation," Z. Angew. Math. Phys. ZAMPA80044-2275 40, 473 (1989). 10.1007/BF00944801
    • (1989) Z. Angew. Math. Phys. , vol.40 , pp. 473
    • Rott, N.1
  • 14
    • 0012185910 scopus 로고
    • "Three-vortex motion with zero total circulation: Addendum"
    • ZAMPA80044-2275 10.1007/BF00944802
    • H. Aref, "Three-vortex motion with zero total circulation: Addendum," Z. Angew. Math. Phys.ZAMPA80044-2275 40, 495 (1989).10.1007/BF00944802
    • (1989) Z. Angew. Math. Phys. , vol.40 , pp. 495
    • Aref, H.1
  • 16
    • 36849145958 scopus 로고
    • "Tripolar vortices in a rotating fluid"
    • NATUAS0028-0836 10.1038/338569a0
    • G. J. F. van Heijst and R. C. Kloosterziel, "Tripolar vortices in a rotating fluid," Nature (London) NATUAS0028-0836 338, 569 (1989). 10.1038/338569a0
    • (1989) Nature (London) , vol.338 , pp. 569
    • van Heijst, G.J.F.1    Kloosterziel, R.C.2
  • 17
    • 0026107155 scopus 로고
    • "An experimental study of unstable barotropic vortices in a rotating fluid"
    • JFLSA70022-1120 10.1017/S0022112091001301
    • R. C. Kloosterziel and G. J. F. van Heijst, "An experimental study of unstable barotropic vortices in a rotating fluid," J. Fluid Mech. JFLSA70022-1120 223, 1 (1991). 10.1017/S0022112091001301
    • (1991) J. Fluid Mech. , vol.223 , pp. 1
    • Kloosterziel, R.C.1    van Heijst, G.J.F.2
  • 18
    • 0026137771 scopus 로고
    • "Laboratory experiments on the tripolar vortex in a rotating fluid"
    • JFLSA70022-1120 10.1017/S0022112091002069
    • G. J. F. van Heijst, R. C. Kloosterziel, and C. W. M. Williams, "Laboratory experiments on the tripolar vortex in a rotating fluid," J. Fluid Mech. JFLSA70022-1120 225, 301 (1991). 10.1017/ S0022112091002069
    • (1991) J. Fluid Mech. , vol.225 , pp. 301
    • van Heijst, G.J.F.1    Kloosterziel, R.C.2    Williams, C.W.M.3
  • 19
    • 54749124421 scopus 로고    scopus 로고
    • "Dynamics of three vortices on a plane and a sphere-II. General compact case"
    • ZZZZZZ 10.1070/rd1998v003n02ABEH000075
    • A. V. Borisov and V. G. Lebedev, "Dynamics of three vortices on a plane and a sphere-II. General compact case," Regular Chaotic Dyn. ZZZZZZ 3, 99 (1998). 10.1070/rd1998v003n02ABEH000075
    • (1998) Regular Chaotic Dyn. , vol.3 , pp. 99
    • Borisov, A.V.1    Lebedev, V.G.2
  • 21
    • 0000341191 scopus 로고
    • "Integrable and chaotic motions of four vortices. I: The case of identical vortices"
    • APRLAAZ0950-1207 10.1098/rspa.1982.0047
    • H. Aref and N. Pomphrey, "Integrable and chaotic motions of four vortices. I: The case of identical vortices," Proc. R. Soc. London, Ser. A PRLAAZ0950-1207 380, 359 (1982). 10.1098/rspa.1982.0047
    • (1982) Proc. R. Soc. London, Ser. A , vol.380 , pp. 359
    • Aref, H.1    Pomphrey, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.