Perturbation techniques in the theory of lubrication
Author:
Giovanni Cimatti
Journal:
Quart. Appl. Math. 44 (1986), 97-108
MSC:
Primary 76D08
DOI:
https://doi.org/10.1090/qam/840447
MathSciNet review:
840447
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Abstract: Perturbation techniques are a very useful tool also in the theory of lubrication. Two typical situations are rigorously discussed in this paper: the bifurcation for the “shoe-bearing” and the asymptotic analysis for a finite gas slider bearing of narrow geometry. Furthermore the mathematical basis of a new application of the Reynolds equation is briefly treated.
A. Cameron, Principles of lubrication, Longmans Ed., London (1966)
- Giovanni Cimatti, Nonlinear aspects of the theory of lubrication, Rend. Mat. (7) 3 (1983), no. 3, 399–412 (English, with Italian summary). MR 743386
- Giovanni Cimatti, On certain nonlinear problems arising in the theory of lubrication, Appl. Math. Optim. 11 (1984), no. 3, 227–245. MR 748181, DOI https://doi.org/10.1007/BF01442180
R. C. Diprima and J. J. Shepherd, Asymptotic analysis of a finite gas slider bearing of narrow geometry, J. Lubrication Technology 105, 491–495 (1983)
A. W. Gross, Fluid film lubrication, John Wiley Ed., New York (1980)
- David Kinderlehrer and Guido Stampacchia, An introduction to variational inequalities and their applications, Pure and Applied Mathematics, vol. 88, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. MR 567696
- Olga A. Ladyzhenskaya and Nina N. Ural’tseva, Linear and quasilinear elliptic equations, Academic Press, New York-London, 1968. Translated from the Russian by Scripta Technica, Inc; Translation editor: Leon Ehrenpreis. MR 0244627
- Séminaire sur les Équations aux Dérivées Partielles (1963–1964). III, Collège de France, Paris, 1964 (French). MR 0390437
A. B. Tayler, Absorbent compressible paper, Quart. J. Mech. Appl. Math. 4, 481–495 (1978)
A. Cameron, Principles of lubrication, Longmans Ed., London (1966)
G. Cimatti, Nonlinear aspects of the theory of lubrication, Rend. Mat. 3, 399–412 (1983)
G. Cimatti, On certain nonlinear problems arising in the theory of lubrication, Appl. Math. Optim. 11, 227–245 (1984)
R. C. Diprima and J. J. Shepherd, Asymptotic analysis of a finite gas slider bearing of narrow geometry, J. Lubrication Technology 105, 491–495 (1983)
A. W. Gross, Fluid film lubrication, John Wiley Ed., New York (1980)
D. Kinderlehrer and G. Stampacchia, An introduction to variational inequalities and their applications, Academic Press, New York (1980)
O. A. Ladyzhenskaya and N. N. Ural’tszva, Linear and quasilinear elliptic equations, Academic Press, New York (1968)
G. Stampacchia, Seminaire sur les equations aux derivées partielles, College de France (1964)
A. B. Tayler, Absorbent compressible paper, Quart. J. Mech. Appl. Math. 4, 481–495 (1978)
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Article copyright:
© Copyright 1986
American Mathematical Society
