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[1]
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M. Lanzendörfer and J. Stebel.
On boundary conditions for fluids with pressure dependent viscosity.
In R. Blaheta and J. Starý, editors, Modelling 2009. IMACS
Conference on Mathematical Modelling and Computational Methods in Applied
Sciences and Engineering. Institute of Geonics AS CR, 2009.
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[2]
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M. Lanzendörfer and J. Stebel.
On pressure boundary conditions for steady flows of incompressible
fluids with pressure and shear rate dependent viscosities.
In R. Blaheta and J. Starý, editors, SNA '09 - Seminar on
Numerical Analysis and Winter School, pages 71-75. Institute of Geonics AS
CR, 2009.
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http ]
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[3]
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J. Haslinger, J. Málek, and J. Stebel.
Shape optimization governed by generalized Navier-Stokes
equations.
In R. Blaheta and J. Starý, editors, SNA '07 - Modelling and
Simulation of Challenging Engineering Prolems, pages 91-94. Institute of
Geonics AS CR, 2007.
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[4]
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J. Haslinger, J. Málek, and J. Stebel.
Shape optimization in problems governed by generalised
Navier-Stokes equations: existence analysis.
IASME Trans., 2(6):905-910, 2005.
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We study a shape optimization problem for a paper machine headbox which distributes a mixture of water and wood fibers in the paper manufacturing process. The aim is to find a shape which a priori ensures the given velocity profile on the outlet part. The state problem is represented by the generalised Navier-Stokes system with nontrivial boundary conditions. The objective of this paper is to prove the existence of an optimal shape.
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[5]
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Jan Stebel.
Optimal shape design in a fibre orientation model.
In J. Safrankova, editor, WDS'05 Proceedings of Contributed
Papers: Part I - Mathematics and Computer Sciences, pages 167-172.
Matfyzpress, 2005.
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