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Rediscovery of Da Rios equations

Naturevolume 352pages561562 (1991) | Download Citation

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The remarkable story of the discovery of a set of equations at least three times this century shows once again that independent discoveries can occur and exist for some time.

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References

  1. 1

    Da Rios, L. S. Rend. Circ. Mat. Palermo 22, 117–135 (1906).

  2. 2

    Levi-Civita, T. Rend. R. Acc. Lincei 17, 3–15 (1908).

  3. 3

    Levi-Civita, T. Rend. R. Acc. Lincei 17, 413–426, 535–551 (1908).

  4. 4

    Levi-Civita, T. Rend. R. Acc. Lincei 18, 41–50 (1909).

  5. 5

    Levi-Civita, T. Rend. Circ. Mat. Palermo 33, 354–374 (1912).

  6. 6

    Da Rios, L. S. Rend. R. Acc. Lincei 18, 75–79 (1909).

  7. 7

    Da Rios, L. S. Rend. Circ. Mat. Palermo 29, 354–368 (1910).

  8. 8

    Levi-Civita, T. Attrazione Newtoniana dei Tubi Sottili e Vortici Filiformi (Annali R. Scuola Norm. Sup. Pisa, Zanichelli, Bologna, 1932).

  9. 9

    Hama, F. R. & Nutant J. Phys. Fluids 4, 28–32 (1961).

  10. 10

    Hama, F. R. Phys. Fluids 5, 1156–1162 (1962).

  11. 11

    Arms, R. J. & Hama, F. R. Phys. Fluids 8, 553–559 (1965).

  12. 12

    Betchov, R. J. Fluid Mech. 22, 471–479 (1965).

  13. 13

    Hasimoto, H. J. Fluid Mech. 51, 477–485 (1972).

  14. 14

    Lakshmanan, M., Ruijgrok, T. W. & Thompson, C. J. Physica A84, 577–590 (1976).

  15. 15

    Lakshmanan, M. Phys. Lett. A61, 53–54 (1977).

  16. 16

    Kida, S. J. Fluid Mech. 112, 397–409 (1981).

  17. 17

    Germano, M. Proc. VII natn. Cong. Assoc. Ital. Aeronaut. Astronaut. 1, 163–170 (1983).

  18. 18

    Moffatt, H. K. in Turbulence and Chaotic Phenomena in Fluids 223–230 (Elsevier, Amsterdam, 1984).

  19. 19

    Hama, F. R. Vortex Motion — Fluid Dynamics Research 3, 149–150 (North-Holland, Amsterdam, 1988).

  20. 20

    Murakami, Y., Takahasi, H., Ukita, Y. & Fujihara, S. Oyo Butsuri 6, 151–153 (1937).

  21. 21

    Keener, J. P. J. Fluid Mech. 211, 629–651 (1990).

  22. 22

    Lamb, G. L. Jr. J. Math. Phys. 18, 1654–1661 (1977).

  23. 23

    Ricca, R. L. Phys. Rev. A43, 4281–4288 (1991).

  24. 24

    Sym, A. Lett. Nuovo Cimento 41, 353–360 (1984).

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  1. Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, UK

    • Renzo L. Ricca

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https://doi.org/10.1038/352561a0

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