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Reynolds flow of a fluid in a thin three-dimensional channel. (Russian. English summary) Zbl 0715.76011

Summary: The limiting differential equation describing a three-dimensional flow of a viscous incompressible fluid in a thin channel with a varying profile is derived. This equation is analogous to the well known Reynolds equation for the motion of a fluid between two close surfaces. The full asymptotic expansion of the solution of the Navier-Stokes problem is constructed and substantiated.

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
35Q30 Navier-Stokes equations
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