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Constructive solution of the 1918 problem of Lord Rayleigh

Authors: M. N. McAllister, S. M. Rohde and G. T. McAllister
Journal: Proc. Amer. Math. Soc. 76 (1979), 60-66
MSC: Primary 49A10; Secondary 76A99
MathSciNet review: 534391
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Abstract: In 1918 Lord Rayleigh posed the problem of finding the profile (shape) of a one dimensional slider bearing which will support the greatest weight. In this paper we give, in closed form, the solution of this problem.

References [Enhancements On Off] (What's this?)

  • [1] Lord Rayleigh, Notes on the theory of lubrication, Philos. Mag. 35 (1918), 1-12.
  • [2] C. B. Morrey, Jr., Multiple integrals in the calculus of variations, Springer-Verlag, New York, 1966. MR 0202511 (34:2380)
  • [3] -, Multiple integral problems in the calculus of variations and related topics, Univ. California Publ. Math., Berkeley, 1943, pp. 1-130. MR 0011537 (6:180b)

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Article copyright: © Copyright 1979 American Mathematical Society

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