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.
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References
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Neustupa, T. (2009). Question of Existence and Uniqueness of Solution for Navier-Stokes Equation with Linear “Do-Nothing” Type Boundary Condition on the Outflow. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_49
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DOI: https://doi.org/10.1007/978-3-642-00464-3_49
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-00463-6
Online ISBN: 978-3-642-00464-3
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