Duvnjak, Antonija; Marušić-Paloka, Eduard Derivation of the Reynolds equation for lubrication of a rotating shaft. (English) Zbl 1046.35006 Arch. Math., Brno 36, No. 4, 239-253 (2000). The paper deals with mathematical modelling of lubrication process of a slipper bearing. By the method of asymptotic expansion and dimensional reduction the Reynolds equation is derived from the Navier-Stokes system on a thin gap between two coaxial cylinders in relative motion. In addition, convergence of the corrected solutions is proved. Reviewer: Jan Franců (Brno) Cited in 6 Documents MSC: 35B25 Singular perturbations in context of PDEs 35B40 Asymptotic behavior of solutions to PDEs 76D08 Lubrication theory Keywords:lubrication; Reynolds equation; Navier-Stokes system; dimensional reduction PDF BibTeX XML Cite \textit{A. Duvnjak} and \textit{E. Marušić-Paloka}, Arch. Math., Brno 36, No. 4, 239--253 (2000; Zbl 1046.35006) Full Text: EuDML