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KIAM Preprint № 54, Moscow, 2005
Authors: Bruno A. D., Shadrina T.V.
On the viscous incompressible fluid flow around a plate
Abstract:
By methodsof Power Geometry, we study the classical problem of the boundary layer in the viscous incompressible fluid flow around a semi-infinite plate. The flow is described by the Navier--Stocks system of three partial differential equations. When one tends to infinity along the plate, the asymptotics of the flow satisfies to a truncated system, which is reduced in self-similar coordinates to the ordinary differential Blasius equation. A detailed study of its solutions allows to describe the asymptotics of the flow. We give a survey of know results as well. The paper is mostly methodological, but it contains also some new results.
Publication language: russian
Research direction:
Mathematical problems and theory of numerical methods
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About authors:
  • Bruno Alexander Dmitrievich,  orcid.org/0000-0002-7465-1258KIAM RAS
  • Shadrina T. V.,  KIAM RAS