Temam, Roger; Wang, Xiaoming Asymptotic analysis of Oseen type equations in a channel at small viscosity. (English) Zbl 0881.35097 Indiana Univ. Math. J. 45, No. 3, 863-916 (1996). One studies the boundary layer appearing with large Reynolds number (small viscosity) in Oseen type equations in 2-D space in a channel. The paper is organized as follows. It begins with the asymptotic analysis of the stationary Oseen equation with constant velocity flow, and then deals with the asymptotic behaviour of a class of convection-diffusion equations. Section 3 considers the evolutionary Oseen type equation. These results are extended to the case when one linearizes Navier-Stokes equations around the non-constant velocity flow. An estimate is provided. The last section is devoted to the behaviour of the boundary layer. Reviewer: G.Jumarie (Montréal) Cited in 2 ReviewsCited in 30 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76D10 Boundary-layer theory, separation and reattachment, higher-order effects 35B40 Asymptotic behavior of solutions to PDEs Keywords:stationary Oseen equation; evolutionary Oseen type equation; behaviour of the boundary layer PDFBibTeX XMLCite \textit{R. Temam} and \textit{X. Wang}, Indiana Univ. Math. J. 45, No. 3, 863--916 (1996; Zbl 0881.35097) Full Text: DOI