Constructive solution of the 1918 problem of Lord Rayleigh
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- by M. N. McAllister, S. M. Rohde and G. T. McAllister PDF
- Proc. Amer. Math. Soc. 76 (1979), 60-66 Request permission
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
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Lord Rayleigh, Notes on the theory of lubrication, Philos. Mag. 35 (1918), 1-12.
- 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
- Charles B. Morrey Jr., Multiple integral problems in the calculus of variations and related topics, Univ. California Publ. Math. (N.S.) 1 (1943), 1–130. MR 11537
Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 76 (1979), 60-66
- MSC: Primary 49A10; Secondary 76A99
- DOI: https://doi.org/10.1090/S0002-9939-1979-0534391-7
- MathSciNet review: 534391