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Volumn 48, Issue 8, 2007, Pages

Magnetic vortex filament flows

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EID: 34548415058     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2767535     Document Type: Article
Times cited : (133)

References (30)
  • 1
    • 3543006638 scopus 로고    scopus 로고
    • Models of relativistic particles with curvature and torsion revisited
    • Arroyo, J., Barros, M., and Garay, O. J., " Models of relativistic particles with curvature and torsion revisited., " Gen. Relativ. Gravit. 36, 1441-1451 (2004).
    • (2004) Gen. Relativ. Gravit. , vol.36 , pp. 1441-1451
    • Arroyo, J.1    Barros, M.2    Garay, O.J.3
  • 2
    • 22044436596 scopus 로고    scopus 로고
    • Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
    • Bahri, A. and Taimanov, I. A., " Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems., " Trans. Am. Math. Soc. 350, 2697-2717 (1998).
    • (1998) Trans. Am. Math. Soc. , vol.350 , pp. 2697-2717
    • Bahri, A.1    Taimanov, I.A.2
  • 3
    • 21744460714 scopus 로고    scopus 로고
    • General helices and a theorem of Lancret
    • Barros, M., " General helices and a theorem of Lancret., " Proc. Am. Math. Soc. 125, 1503-1509 (1997).
    • (1997) Proc. Am. Math. Soc. , vol.125 , pp. 1503-1509
    • Barros, M.1
  • 4
  • 6
    • 84893894738 scopus 로고
    • On the curvature and torsion of an isolated vortex filament
    • Betchov, R., " On the curvature and torsion of an isolated vortex filament., " J. Fluid Mech. 22, 471-479 (1965).
    • (1965) J. Fluid Mech. , vol.22 , pp. 471-479
    • Betchov, R.1
  • 7
    • 84867977343 scopus 로고    scopus 로고
    • Finite-gap solutions of the vortex filament equation: Genus one solutions and symmetric solutions
    • Calini, A. and Ivey, T., " Finite-gap solutions of the vortex filament equation: Genus one solutions and symmetric solutions., " J. Nonlinear Sci. 15, 321-361 (2005).
    • (2005) J. Nonlinear Sci. , vol.15 , pp. 321-361
    • Calini, A.1    Ivey, T.2
  • 9
    • 84974277983 scopus 로고
    • A soliton on a vortex filament
    • Hasimoto, H., " A soliton on a vortex filament., " J. Fluid Mech. 51, 477-485 (1972).
    • (1972) J. Fluid Mech. , vol.51 , pp. 477-485
    • Hasimoto, H.1
  • 10
    • 0000774509 scopus 로고
    • Motion of a vortex filament and its relation to elastica
    • Hasimoto, H., " Motion of a vortex filament and its relation to elastica., " J. Phys. Soc. Jpn. 31, 293-294 (1971).
    • (1971) J. Phys. Soc. Jpn. , vol.31 , pp. 293-294
    • Hasimoto, H.1
  • 11
    • 0005613646 scopus 로고    scopus 로고
    • Knot types, homotopies and stability of closed elastic rods
    • Ivey, T. and Singer, D. A., " Knot types, homotopies and stability of closed elastic rods., " Proc. London Math. Soc. 79, 429-450 (1999).
    • (1999) Proc. London Math. Soc. , vol.79 , pp. 429-450
    • Ivey, T.1    Singer, D.A.2
  • 12
    • 3142689815 scopus 로고    scopus 로고
    • Kirchhoff elastic rods in the three sphere
    • Kawakubo, S., " Kirchhoff elastic rods in the three sphere., " Tohoku Math. J. 56, 205-235 (2004).
    • (2004) Tohoku Math. J. , vol.56 , pp. 205-235
    • Kawakubo, S.1
  • 13
    • 34548424098 scopus 로고
    • Regional Conference Series in Mathematics Vol. Amer. Math. Soc., New York
    • Kazdan, J. L., Prescribing the Curvature of a Riemannian Manifold, Regional Conference Series in Mathematics Vol. 57 (Amer. Math. Soc., New York, 1985).
    • (1985) Prescribing the Curvature of A Riemannian Manifold , vol.57
    • Kazdan, J.L.1
  • 14
    • 0019633372 scopus 로고
    • A vortex filament moving without change of form
    • Kida, S., " A vortex filament moving without change of form., " J. Fluid Mech. 112, 397-409 (1981).
    • (1981) J. Fluid Mech. , vol.112 , pp. 397-409
    • Kida, S.1
  • 15
    • 0002831265 scopus 로고
    • Principal fibre bundles with 1-dimensional toroidal group
    • Kobayashi, S., " Principal fibre bundles with 1-dimensional toroidal group., " Tohoku Math. J. 8, 29-45 (1956).
    • (1956) Tohoku Math. J. , vol.8 , pp. 29-45
    • Kobayashi, S.1
  • 17
    • 84960590615 scopus 로고
    • Knotted elastic curves in R3
    • Langer, J. and Singer, D. A., " Knotted elastic curves in R3., " J. Lond. Math. Soc. 30, 512-520 (1984).
    • (1984) J. Lond. Math. Soc. , vol.30 , pp. 512-520
    • Langer, J.1    Singer, D.A.2
  • 18
    • 0030408358 scopus 로고    scopus 로고
    • Lagrangian aspects of the Kirchhoff elastic rod
    • Langer, J. and Singer, D. A., " Lagrangian aspects of the Kirchhoff elastic rod., " SIAM Rev. 38, 1-17 (1996).
    • (1996) SIAM Rev. , vol.38 , pp. 1-17
    • Langer, J.1    Singer, D.A.2
  • 19
    • 84972507666 scopus 로고
    • The total squared curvature of closed curves
    • Langer, J. and Singer, D. A., " The total squared curvature of closed curves., " J. Diff. Geom. 20, 1-22 (1984).
    • (1984) J. Diff. Geom. , vol.20 , pp. 1-22
    • Langer, J.1    Singer, D.A.2
  • 21
    • 84956089807 scopus 로고
    • Hamiltonian formalism and a multivalued analogue of Morse theory
    • Novikov, S. P., " Hamiltonian formalism and a multivalued analogue of Morse theory., " Russ. Math. Surveys 37, 1-56 (1982).
    • (1982) Russ. Math. Surveys , vol.37 , pp. 1-56
    • Novikov, S.P.1
  • 22
    • 0001321774 scopus 로고
    • Multivalued functions and functionals. An analogue of Morse theory
    • Novikov, S. P., " Multivalued functions and functionals. An analogue of Morse theory., " Sov. Math. Dokl. 24, 222-226 (1981).
    • (1981) Sov. Math. Dokl. , vol.24 , pp. 222-226
    • Novikov, S.P.1
  • 23
    • 33646881151 scopus 로고
    • Variational methods and periodics solutions of equations of Kirchhoff type
    • Novikov, S. P., " Variational methods and periodics solutions of equations of Kirchhoff type., " Funct. Anal. Appl. 15, 263-274 (1981).
    • (1981) Funct. Anal. Appl. , vol.15 , pp. 263-274
    • Novikov, S.P.1
  • 25
    • 4243572118 scopus 로고
    • Massless particle with rigidity as a model for the description of bosons and fermions
    • Plyushchay, M. S., " Massless particle with rigidity as a model for the description of bosons and fermions., " Phys. Lett. B 243, 383-388 (1990).
    • (1990) Phys. Lett. B , vol.243 , pp. 383-388
    • Plyushchay, M.S.1
  • 26
    • 33746770798 scopus 로고
    • On the motion of an unbounded fluid with a vortex filament of any shape
    • Rios, L. D., " On the motion of an unbounded fluid with a vortex filament of any shape., " Rend. Circ. Mat. Palermo 22, 117-132 (1906).
    • (1906) Rend. Circ. Mat. Palermo , vol.22 , pp. 117-132
    • Rios, L.D.1
  • 27
  • 29
    • 84968464293 scopus 로고
    • Curvature forms for 2-manifolds
    • Wallach, N. and Warner, F. W., " Curvature forms for 2-manifolds., " Proc. Am. Math. Soc. 25, 712-713 (1970).
    • (1970) Proc. Am. Math. Soc. , vol.25 , pp. 712-713
    • Wallach, N.1    Warner, F.W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.