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Question of Existence and Uniqueness of Solution for Navier-Stokes Equation with Linear “Do-Nothing” Type Boundary Condition on the Outflow

  • Tomáš Neustupa
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)

Abstract

The paper deals with the mathematical model of a flow of a viscous incompressible fluid through a 2D cascade of profiles. We consider a splited “do–nothing” type boundary condition on the outflow. The existence of a weak solution of a corresponding steady boundary value problem is known, see [2] and [3]. We recall the weak formulation, the theorem on existence and we study the uniqueness of the weak solution in this paper.

Keywords

Weak Solution Weak Formulation Spatial Period Nonlinear Boundary Condition Simple Closed Curve 
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References

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    Neustupa, T.: Mathematical Modelling of Viscous Incompressible Flow through a Cascade of Profiles. Dissertation Thesis. Faculty of Mathematics and Physics, Charles University Prague (2007)Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Tomáš Neustupa
    • 1
  1. 1.Faculty of Mechanical EngineeringCzech Technical University PraguePragueCzech Republic

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