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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


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] Charles B. Morrey Jr., Multiple integrals in the calculus of variations, Die Grundlehren der mathematischen Wissenschaften, Band 130, Springer-Verlag New York, Inc., New York, 1966. MR 0202511 (34 #2380)
  • [3] Charles B. Morrey Jr., Multiple integral problems in the calculus of variations and related topics, Univ. of California Publ. Math. (N. S.) 1 (1943), 1–130. MR 0011537 (6,180b)

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PII: S 0002-9939(1979)0534391-7
Article copyright: © Copyright 1979 American Mathematical Society