메뉴 건너뛰기




Volumn 49, Issue 12, 1996, Pages 28-34

Topological ideas and fluid mechanics

Author keywords

[No Author keywords available]

Indexed keywords

ASTROPHYSICS; ELECTRIC WIRE; FLOW PATTERNS; MAGNETIC FIELDS; MAGNETIC RELAXATION; MATHEMATICAL MODELS; TOPOLOGY; VORTEX FLOW;

EID: 0030420605     PISSN: 00319228     EISSN: None     Source Type: Trade Journal    
DOI: 10.1063/1.881574     Document Type: Article
Times cited : (86)

References (42)
  • 1
    • 85033013577 scopus 로고
    • Königichlen Gesellschaft der Wissenschaften zu Göttingen, Leipzig-Berlin
    • C. F. Gauss, Werke, Königichlen Gesellschaft der Wissenschaften zu Göttingen, Leipzig-Berlin (1877), vol. 5.
    • (1877) Werke , vol.5
    • Gauss, C.F.1
  • 3
    • 0004168443 scopus 로고
    • Cambridge U. P., Cambridge, England chapter 3
    • H. Lamb, Hydrodynamics, Cambridge U. P., Cambridge, England (1879), chapter 3. J. J. Thomson, A Treatise on the Motion of Vortex Rings, MacMillan & Co., London (1883). L. Lichtenstein, Grundlagen der Hydromechanik, Springer-Verlag, Berlin (1929).
    • (1879) Hydrodynamics
    • Lamb, H.1
  • 4
    • 0003957244 scopus 로고
    • MacMillan & Co., London
    • H. Lamb, Hydrodynamics, Cambridge U. P., Cambridge, England (1879), chapter 3. J. J. Thomson, A Treatise on the Motion of Vortex Rings, MacMillan & Co., London (1883). L. Lichtenstein, Grundlagen der Hydromechanik, Springer-Verlag, Berlin (1929).
    • (1883) A Treatise on the Motion of Vortex Rings
    • Thomson, J.J.1
  • 5
    • 0039272447 scopus 로고
    • Springer-Verlag, Berlin
    • H. Lamb, Hydrodynamics, Cambridge U. P., Cambridge, England (1879), chapter 3. J. J. Thomson, A Treatise on the Motion of Vortex Rings, MacMillan & Co., London (1883). L. Lichtenstein, Grundlagen der Hydromechanik, Springer-Verlag, Berlin (1929).
    • (1929) Grundlagen der Hydromechanik
    • Lichtenstein, L.1
  • 6
    • 0004022482 scopus 로고
    • Cambridge U. P., Cambridge, England
    • P. G. Tait, Scientific Papers, Cambridge U. P., Cambridge, England (1898), vol. 1.
    • (1898) Scientific Papers , vol.1
    • Tait, P.G.1
  • 8
    • 0007454831 scopus 로고
    • Cambridge U. P., Cambridge, England
    • H. K. Moffatt, A. Tsinober, eds., Topological Fluid Mechanics, Cambridge U. P., Cambridge, England (1990). H. K. Moffatt, G. M. Zaslavsky, P. Comte, M. Tabor, eds., Topological Aspects of the Dynamics of Fluids and Plasmas, Kluwer, Dordrecht, The Netherlands (1992).
    • (1990) Topological Fluid Mechanics
    • Moffatt, H.K.1    Tsinober, A.2
  • 10
    • 0004026649 scopus 로고
    • Wiley, New York
    • H. J. Lugt, Vortex Flow in Nature and Technology, Wiley, New York (1983). R. J. Bray, L. E. Cram, C. J. Durrant, R. E. Loughhead, Plasma Loops in the Solar Corona, Cambridge U. P., Cambridge, England (1991).
    • (1983) Vortex Flow in Nature and Technology
    • Lugt, H.J.1
  • 13
    • 0027464079 scopus 로고
    • V. I. Arnold, B. A. Khesin, Ann. Rev. Fluid Mech. 24, 145 (1992). A. V. Tur, V. V. Yanovsky, J. Fluid Mech. 248, 67 (1993).
    • (1993) J. Fluid Mech. , vol.248 , pp. 67
    • Tur, A.V.1    Yanovsky, V.V.2
  • 14
    • 0014441553 scopus 로고
    • H. K. Moffatt, J. Fluid Mech. 35, 117 (1969). H. K. Moffatt, A. Tsinober, Ann. Rev. Fluid Mech. 24, 281 (1992).
    • (1969) J. Fluid Mech. , vol.35 , pp. 117
    • Moffatt, H.K.1
  • 16
    • 6044263238 scopus 로고
    • Summer School in Diff. Eqs., Armenian S. S. R., Erevan
    • V. I. Arnold, in Summer School in Diff. Eqs., Proc. Acad. Sci. Armenian S. S. R., Erevan (1974), p. 229. M. A. Berger, G. B. Field, J. Fluid Mech. 147, 133 (1984). H. K. Moffatt, R. L. Ricca, Proc. R. Soc. Lond. A 439, 411 (1992).
    • (1974) Proc. Acad. Sci. , pp. 229
    • Arnold, V.I.1
  • 17
    • 0021504706 scopus 로고
    • V. I. Arnold, in Summer School in Diff. Eqs., Proc. Acad. Sci. Armenian S. S. R., Erevan (1974), p. 229. M. A. Berger, G. B. Field, J. Fluid Mech. 147, 133 (1984). H. K. Moffatt, R. L. Ricca, Proc. R. Soc. Lond. A 439, 411 (1992).
    • (1984) J. Fluid Mech. , vol.147 , pp. 133
    • Berger, M.A.1    Field, G.B.2
  • 18
    • 0000807788 scopus 로고
    • V. I. Arnold, in Summer School in Diff. Eqs., Proc. Acad. Sci. Armenian S. S. R., Erevan (1974), p. 229. M. A. Berger, G. B. Field, J. Fluid Mech. 147, 133 (1984). H. K. Moffatt, R. L. Ricca, Proc. R. Soc. Lond. A 439, 411 (1992).
    • (1992) Proc. R. Soc. Lond. A , vol.439 , pp. 411
    • Moffatt, H.K.1    Ricca, R.L.2
  • 19
    • 0019633372 scopus 로고
    • S. Kida, J. Fluid Mech. 112, 397 (1981). J. P. Keener, J. Fluid Mech. 211, 629 (1990). R. L. Ricca, Chaos 3, 83 (1993); 5, 346 (1995).
    • (1981) J. Fluid Mech. , vol.112 , pp. 397
    • Kida, S.1
  • 20
    • 0025384799 scopus 로고
    • S. Kida, J. Fluid Mech. 112, 397 (1981). J. P. Keener, J. Fluid Mech. 211, 629 (1990). R. L. Ricca, Chaos 3, 83 (1993); 5, 346 (1995).
    • (1990) J. Fluid Mech. , vol.211 , pp. 629
    • Keener, J.P.1
  • 21
    • 0002621117 scopus 로고
    • S. Kida, J. Fluid Mech. 112, 397 (1981). J. P. Keener, J. Fluid Mech. 211, 629 (1990). R. L. Ricca, Chaos 3, 83 (1993); 5, 346 (1995).
    • (1993) Chaos , vol.3 , pp. 83
    • Ricca, R.L.1
  • 22
    • 6044277740 scopus 로고
    • S. Kida, J. Fluid Mech. 112, 397 (1981). J. P. Keener, J. Fluid Mech. 211, 629 (1990). R. L. Ricca, Chaos 3, 83 (1993); 5, 346 (1995).
    • (1995) Chaos , vol.5 , pp. 346
  • 23
    • 0001161761 scopus 로고
    • E. N. Parker, Astrophys. J. 264, 642 (1983). A. A. van Ballegooijen, Astrophys. J. 298, 421 (1985). V. Rušin, P. Heinzel, J. C. Vial, eds., Solar Coronal Structures, IAU colloq. 144, Veda Publ., Slovak Acad. Sciences, Tatranska Lomnica (1994).
    • (1983) Astrophys. J. , vol.264 , pp. 642
    • Parker, E.N.1
  • 24
    • 0001247361 scopus 로고
    • E. N. Parker, Astrophys. J. 264, 642 (1983). A. A. van Ballegooijen, Astrophys. J. 298, 421 (1985). V. Rušin, P. Heinzel, J. C. Vial, eds., Solar Coronal Structures, IAU colloq. 144, Veda Publ., Slovak Acad. Sciences, Tatranska Lomnica (1994).
    • (1985) Astrophys. J. , vol.298 , pp. 421
    • Van Ballegooijen, A.A.1
  • 25
    • 85033020146 scopus 로고
    • Solar Coronal Structures, Veda Publ., Slovak Acad. Sciences, Tatranska Lomnica
    • E. N. Parker, Astrophys. J. 264, 642 (1983). A. A. van Ballegooijen, Astrophys. J. 298, 421 (1985). V. Rušin, P. Heinzel, J. C. Vial, eds., Solar Coronal Structures, IAU colloq. 144, Veda Publ., Slovak Acad. Sciences, Tatranska Lomnica (1994).
    • (1994) IAU Colloq. , vol.144
    • Rušin, V.1    Heinzel, P.2    Vial, J.C.3
  • 26
    • 0001723178 scopus 로고
    • M. H. Freedman, Z.-X. He, Ann. Math. 134, 189 (1991). M. A. Berger, Phys. Rev. Lett. 70, 705 (1993). A. Y. K. Chui, H. K. Moffatt, Proc. Roy. Soc. Lond. A 451, 609 (1995).
    • (1991) Ann. Math. , vol.134 , pp. 189
    • Freedman, M.H.1    He, Z.-X.2
  • 27
    • 5844240816 scopus 로고
    • M. H. Freedman, Z.-X. He, Ann. Math. 134, 189 (1991). M. A. Berger, Phys. Rev. Lett. 70, 705 (1993). A. Y. K. Chui, H. K. Moffatt, Proc. Roy. Soc. Lond. A 451, 609 (1995).
    • (1993) Phys. Rev. Lett. , vol.70 , pp. 705
    • Berger, M.A.1
  • 28
    • 0001393193 scopus 로고
    • M. H. Freedman, Z.-X. He, Ann. Math. 134, 189 (1991). M. A. Berger, Phys. Rev. Lett. 70, 705 (1993). A. Y. K. Chui, H. K. Moffatt, Proc. Roy. Soc. Lond. A 451, 609 (1995).
    • (1995) Proc. Roy. Soc. Lond. A , vol.451 , pp. 609
    • Chui, A.Y.K.1    Moffatt, H.K.2
  • 29
    • 0003515412 scopus 로고
    • World Scientific, Singapore
    • K. C. Millett, D. W. Sumners, eds., Random Knotting and Linking, World Scientific, Singapore (1994). L. H. Kauffman, ed., The Interface of Knots and Physics, Proc. Symp. Appl. Maths. 51, Amer. Math. Soc., Providence, R. I. (1995).
    • (1994) Random Knotting and Linking
    • Millett, K.C.1    Sumners, D.W.2
  • 30
    • 85032998389 scopus 로고
    • The Interface of Knots and Physics, Amer. Math. Soc., Providence, R. I.
    • K. C. Millett, D. W. Sumners, eds., Random Knotting and Linking, World Scientific, Singapore (1994). L. H. Kauffman, ed., The Interface of Knots and Physics, Proc. Symp. Appl. Maths. 51, Amer. Math. Soc., Providence, R. I. (1995).
    • (1995) Proc. Symp. Appl. Maths. , vol.51
    • Kauffman, L.H.1
  • 31
    • 0003026274 scopus 로고
    • M. Tobak, D. J. Peake, Ann. Rev. Fluid Mech. 14, 207 (1986). P. G. Bakker, Bifurcations in Flow Patterns, Kluwer, Dordrecht, The Netherlands (1991). M. Brons, Phys. Fluids 6, 2730 (1994).
    • (1986) Ann. Rev. Fluid Mech. , vol.14 , pp. 207
    • Tobak, M.1    Peake, D.J.2
  • 32
    • 0004131510 scopus 로고
    • Kluwer, Dordrecht, The Netherlands
    • M. Tobak, D. J. Peake, Ann. Rev. Fluid Mech. 14, 207 (1986). P. G. Bakker, Bifurcations in Flow Patterns, Kluwer, Dordrecht, The Netherlands (1991). M. Brons, Phys. Fluids 6, 2730 (1994).
    • (1991) Bifurcations in Flow Patterns
    • Bakker, P.G.1
  • 33
    • 0028026286 scopus 로고
    • M. Tobak, D. J. Peake, Ann. Rev. Fluid Mech. 14, 207 (1986). P. G. Bakker, Bifurcations in Flow Patterns, Kluwer, Dordrecht, The Netherlands (1991). M. Brons, Phys. Fluids 6, 2730 (1994).
    • (1994) Phys. Fluids , vol.6 , pp. 2730
    • Brons, M.1
  • 34
    • 6044251994 scopus 로고
    • T. Uezu, Prog. Theor. Phys. 83, 850 (1990). M. Freedman, M. A. Berger, Geophys. Astrophys. Fluid Dynamics 73, 91 (1993). A. A. Ruzmaikin, P. M. Akhmetiev, Phys. Plasma 1, 331 (1994).
    • (1990) Prog. Theor. Phys. , vol.83 , pp. 850
    • Uezu, T.1
  • 36
    • 0000858497 scopus 로고
    • T. Uezu, Prog. Theor. Phys. 83, 850 (1990). M. Freedman, M. A. Berger, Geophys. Astrophys. Fluid Dynamics 73, 91 (1993). A. A. Ruzmaikin, P. M. Akhmetiev, Phys. Plasma 1, 331 (1994).
    • (1994) Phys. Plasma , vol.1 , pp. 331
    • Ruzmaikin, A.A.1    Akhmetiev, P.M.2
  • 37
    • 0039101217 scopus 로고
    • B. B. Kadomtsev, Rep. Prog. Phys. 50, 115 (1987). O. N. Boratav, R. B. Pelz, N. J. Zabusky, Phys. Fluids A4, 581 (1992). M. V. Melander, F. Hussain, J. Fluid Mech. 260, 57 (1994).
    • (1987) Rep. Prog. Phys. , vol.50 , pp. 115
    • Kadomtsev, B.B.1
  • 38
    • 0026802752 scopus 로고
    • B. B. Kadomtsev, Rep. Prog. Phys. 50, 115 (1987). O. N. Boratav, R. B. Pelz, N. J. Zabusky, Phys. Fluids A4, 581 (1992). M. V. Melander, F. Hussain, J. Fluid Mech. 260, 57 (1994).
    • (1992) Phys. Fluids A , vol.4 , pp. 581
    • Boratav, O.N.1    Pelz, R.B.2    Zabusky, N.J.3
  • 39
    • 0027949504 scopus 로고
    • B. B. Kadomtsev, Rep. Prog. Phys. 50, 115 (1987). O. N. Boratav, R. B. Pelz, N. J. Zabusky, Phys. Fluids A4, 581 (1992). M. V. Melander, F. Hussain, J. Fluid Mech. 260, 57 (1994).
    • (1994) J. Fluid Mech. , vol.260 , pp. 57
    • Melander, M.V.1    Hussain, F.2
  • 40
    • 0024068084 scopus 로고
    • S. Kida, M. Takaoka, Fluid Dynam. Res. 3, 257 ( 1988). H. Aref, I. Zawadzki, Nature354, 50 (1991). J. C. R. Hunt, F. Hussain, J. Fluid Mech. 229, 569 (1991).
    • (1988) Fluid Dynam. Res. , vol.3 , pp. 257
    • Kida, S.1    Takaoka, M.2
  • 41
    • 0003163234 scopus 로고
    • S. Kida, M. Takaoka, Fluid Dynam. Res. 3, 257 ( 1988). H. Aref, I. Zawadzki, Nature354, 50 (1991). J. C. R. Hunt, F. Hussain, J. Fluid Mech. 229, 569 (1991).
    • (1991) Nature , vol.354 , pp. 50
    • Aref, H.1    Zawadzki, I.2
  • 42
    • 0026204306 scopus 로고
    • S. Kida, M. Takaoka, Fluid Dynam. Res. 3, 257 ( 1988). H. Aref, I. Zawadzki, Nature354, 50 (1991). J. C. R. Hunt, F. Hussain, J. Fluid Mech. 229, 569 (1991).
    • (1991) J. Fluid Mech. , vol.229 , pp. 569
    • Hunt, J.C.R.1    Hussain, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.