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Acta Applicandae Mathematica

, Volume 76, Issue 1, pp 1–15 | Cite as

On Navier–Stokes Equations with Slip Boundary Conditions in an Infinite Pipe

  • Piotr Bogusław Mucha
Article

Abstract

The paper examines steady Navier–Stokes equations in a two-dimensional infinite pipe with slip boundary conditions. At both inlet and outlet, the velocity of flow is assumed to be constant. The main results show the existence of weak and regular solutions with no restrictions of smallness of the flux vector, also simply connectedness of the domain is not required.

domains with unbounded boundaries steady Navier–Stokes equations slip boundary condition large data 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Piotr Bogusław Mucha
    • 1
  1. 1.Institute of Applied Mathematics and MechanicsWarsaw UniversityWarsawPoland

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