Asymptotic analysis of Oseen type equations in a channel at small viscosity. (English) Zbl 0881.35097

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.


35Q35 PDEs in connection with fluid mechanics
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
35B40 Asymptotic behavior of solutions to PDEs
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