Assemien, Ahiko; Bayada, Guy; Chambat, Michèle Inertial effects in the asymptotic behavior of a thin film flow. (English) Zbl 0813.35076 Asymptotic Anal. 9, No. 3, 177-208 (1994). Summary: We study the dependence with respect to the domain of the constants appearing in some Sobolev embeddings. It shows that the inertial effects are negligible at the first order for the asymptotic behavior of a thin film flow. The influence of the inertial effects is obtained at the second order in the asymptotic expansions of the pressure and velocity, with full convergence argument for chosen boundary conditions. Cited in 11 Documents MSC: 35Q30 Navier-Stokes equations 76D08 Lubrication theory Keywords:inertial effects; Stokes equations; Navier-Stokes equations; influence of the Reynolds number; Reynolds equation PDF BibTeX XML Cite \textit{A. Assemien} et al., Asymptotic Anal. 9, No. 3, 177--208 (1994; Zbl 0813.35076)