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Bulletin of the American Mathematical Society

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Some hydrodynamical methods


Author: L. M. Milne-Thomson
Journal: Bull. Amer. Math. Soc. 63 (1957), 167-186
DOI: https://doi.org/10.1090/S0002-9904-1957-10099-8
MathSciNet review: 0085022
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References [Enhancements On Off] (What's this?)

  • 1. L. M. Milne-Thomson, Theoretical hydrodynamics, 3d ed., New York, Macmillan, 1956, 19.04. Cited below as M-T, H. MR 75724
  • 2. M-T, H, 19.76.
  • 3. L. N. G. Filon, Forces on a cylinder, Proc. Roy. Soc. London Ser. A vol. 113(1926).
  • 4. M-T, H, 3.44.
  • 5. M-T, H, 2.60, 2.50.
  • 6. V. Bjerknes, Vid.-Selsk. Skrifter, Kristiania, 1918.
  • 7. M-T, H, 5.01.
  • 8. L. M. Milne-Thomson, Hydrodynamical images, Proc. Cambridge Philos. Soc. vol. 36 (1940); M-T, H, 6.22. MR 1693
  • 9. M-T, H, 6.41.
  • 10. M-T, H, (1938) 9.51; (1956) 5.43.
  • 11. M-T, H, 9.10.
  • 12. L. Bieberbach, Einführung in die konforme Abbildung, (1920).
  • 13. J. Plemelj, Ein Ergänzungssatz zur Cauchyschen Integraldarstellung analytischer Funktionen, Randwerte betreffend, Monatsh. Math. Phys. 19 (1908), no. 1, 205–210 (German). MR 1547763, https://doi.org/10.1007/BF01736696
  • 14. M-T, H, 11.2.
  • 15. A. Rose, On the use of a complex (quaternion) velocity potential, Comm. Math. Helv. vol. 24 (1950) pp. 135-147. MR 38182
  • 16. R. Fueter, Comm. Math. Helv. vol. 7 (1934-1935) p. 307. MR 10205
  • 17. Charles Darwin, Proc. Cambridge Philos. Soc. vol. 49 (1953) pp. 342-354. MR 55089
  • 18. M-T, H, 9.21.
  • 19. E. L. Bloh, Prik. Mat. Meh. vol. 19 (1955) pp. 353-358. MR 70353
  • 20. M. Shiffman, Comm. on Applied Math. vol. 1 (1948) pp. 89-99; vol. 2 (1949) pp. 1-11. MR 31870
  • 21. D. Riabouchinsky, Proc. London Math. Soc. vol. 19 (1921) pp. 206-215.
  • 22. M-T, H, 12.23.
  • 23. P. R. Garabedian, Mathematical theory of three-dimensional cavities, and jets, Bull. Amer. Math. Soc. vol. 62 (1956) pp. 219-235. MR 78824
  • 24. M-T, H, 14.80.
  • 25. M-T, H, 13.13.
  • 26. T. Levi-Civita, Détermination rigoureuse des ondes permanentes d’ampleur finie, Math. Ann. 93 (1925), no. 1, 264–314 (French). MR 1512238, https://doi.org/10.1007/BF01449965
  • 27. T. V. Davies, Proc. Roy. Soc. London Ser. A vol. 208 (1951) p. 475. MR 44279
  • 28. B. A. Packham, Proc. Roy. Soc. London Ser. A vol. 213 (1952) p. 238. MR 49714
  • 29. M-T, H, 14.82 and footnote on p. 412.
  • 30. F. John, Two-dimensional potential flows with a free boundary, Comm. Pure App. Math. vol. 6 (1953) pp. 497-503. MR 59690
  • 31. H. Lewy, Comm. Pure App. Math. vol. 5 (1952) p. 413. MR 52250
  • 32. M. J. Vitousek, Some flows in a gravity field satisfying the exact free surface condition, Stanford University, 1954.
  • 33. A. E. H. Love, Mathematical theory of elasticity, 4th ed., Cambridge, 1934, pp. 399-408.
  • 34. Ibid. p. 314.
  • 35. M-T, H, 18.24.
  • 36. M-T, H, 19.32.
  • 37. W. D. Collins, On the steady rotation of a sphere in a viscous fluid, Mathematika vol. 2 (1955) pp. 42-47. MR 74193
  • 38. M-T, H, 17.43.
  • 39. M. D. Haskind, Neustanovivšeesya dviženie tverdogo tela v uskorennom potoke bezgraničnoi židkosti, Prik. Mat. Meh. vol. 20 (1956) pp. 120-123. MR 77310
  • 40. P. V. Harlamov, Postypatel'nye dviženiya tyaželogo tverdogo tela v židkosti, Prik. Mat. Meh. vol. 20 (1956) pp. 124-129.
  • 41. L. M. Milne-Thomson, Journal of Fluid Mechanics vol. 2 (1957) p. 88. MR 83296


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1957-10099-8

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