Geodesic
Derivation of the Reynolds equation for lubrication of a rotating shaft
Archivum mathematicum, Tome 36 (2000) no. 4, pp. 239-253 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper, using the asymptotic expansion, we prove that the Reynolds lubrication equation is an approximation of the full Navier–Stokes equations in thin gap between two coaxial cylinders in relative motion. Boundary layer correctors are computed. The error estimate in terms of domain thickness for the asymptotic expansion is given. The corrector for classical Reynolds approximation is computed.
In this paper, using the asymptotic expansion, we prove that the Reynolds lubrication equation is an approximation of the full Navier–Stokes equations in thin gap between two coaxial cylinders in relative motion. Boundary layer correctors are computed. The error estimate in terms of domain thickness for the asymptotic expansion is given. The corrector for classical Reynolds approximation is computed.
Classification : 35B25, 35B40, 35Q30, 76D08
Keywords: lubrication; Reynolds equation; Navier-Stokes system; lower-dimensional approximation 
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     author = {Duvnjak, Antonija and Maru\v{s}i\'c-Paloka, Eduard},
     title = {Derivation of the {Reynolds} equation for lubrication of a rotating shaft},
     journal = {Archivum mathematicum},
     pages = {239--253},
     year = {2000},
     volume = {36},
     number = {4},
     mrnumber = {1811168},
     zbl = {1046.35006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2000_36_4_a0/}
}
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Duvnjak, Antonija; Marušić-Paloka, Eduard. Derivation of the Reynolds equation for lubrication of a rotating shaft. Archivum mathematicum, Tome 36 (2000) no. 4, pp. 239-253. http://geodesic.mathdoc.fr/item/ARM_2000_36_4_a0/