Asymptotic solution of the Navier-Stokes problem on the flow of a thin layer of fluid-Reference-Cited by-同舟云学术

Asymptotic solution of the Navier-Stokes problem on the flow of a thin layer of fluid

Published:1990 Issue:2 Volume:31 Page:296-307
ISSN:0037-4466
Container-title:Siberian Mathematical Journal
language:en
Short-container-title:Sib Math J

Author:

Nazarov S. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF00970660.pdf

Reference23 articles.

1. O. Reynolds, Hydrodynamic Theory of Lubrication [Russian translation], Gostekhizdat, Moscow-Leningrad (1934).

2. N. P. Petrov, Hydrodynamic Theory of Lubrication: Selected Works [in Russian], Izd. Akad. Nauk SSSR, Moscow (1948).

3. G. Bayada and M. Chambat, ?The transition between the Stokes equations and the Reynolds equation: a mathematical proof,? Appl. Math. Optim.,14, No. 1, 73?93 (1986).

4. A. L. Gol'denveiser, ?Construction of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity,? Prikl. Mat. Mekh.,26, No. 4, 668?686 (1962).

5. M. G. Dzhavadov, ?Asymptotics of a solution of a boundary problem for second order elliptic equations in thin domains,? Differents. Uravn.,4, No. 10, 1901?1909 (1968).

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