Publications

Preprints

[1] E. Feireisl, J. Neustupa, and J. Stebel. Convergence of a Brinkman-type penalization for compressible fluid flows. Preprint 13, Nečas Center for Mathematical Modeling, 2010. Submitted to J. Differential Equations. [ bib | .pdf | Abstract ]
[2] J. Stebel. On shape stability of incompressible fluids subject to Navier's slip. Preprint 10, Nečas Center for Mathematical Modeling, 2010. Submitted to J. Math. Fluid Mech. [ bib | .pdf | Abstract ]
[3] M. Lanzendörfer and J. Stebel. On a mathematical model of journal bearing lubrication. Preprint 206, Institute of Mathematics of the Academy of Sciences of the Czech Republic, 2010. Submitted to Mathematics and Computers in Simulation. [ bib | .pdf | Abstract ]
[4] J. Haslinger and J. Stebel. Shape optimization for Navier-Stokes equations with algebraic turbulence model: Numerical analysis and computation. Preprint 26, Nečas Center for Mathematical Modeling, 2009. Submitted to Appl. Math. Optim. [ bib | .pdf | Abstract ]
[5] M. Lanzendörfer and J. Stebel. On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities. Preprint 15, Nečas Center for Mathematical Modeling, 2008. To appear in Appl. Math. [ bib | .pdf | Abstract ]

Papers in refereed journals

[1] M. Bulíček, J. Haslinger, J. Málek, and J. Stebel. Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Existence Analysis. Applied Mathematics and Optimization, 60(2):185-212, 2009. [ bib | http | Abstract ]
[2] J. Stebel, R.A.E. Mäkinen, and J.I. Toivanen. Optimal shape design in a fibre orientation model. Applications of Mathematics, 52(5):391-405, 2007. [ bib | http | Abstract ]
[3] J. Haslinger, J. Málek, and J. Stebel. Shape optimization in problems governed by generalised Navier-Stokes equations: existence analysis. Control and Cybernetics, 34(1):283-303, 2005. [ bib | .pdf | Abstract ]

Papers in proceedings

[1] 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. [ bib ]
[2] 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. [ bib | http ]
[3] 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. [ bib ]
[4] 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. [ bib | Abstract ]
[5] 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. [ bib | .pdf ]

Theses

[1] Jan Stebel. Shape optimization for Navier-Stokes equations with viscosity. PhD thesis, Charles University in Prague, Faculty of Mathematics and Physics, 2007. [ bib | .pdf ]
[2] Jan Stebel. Shape optimization in problems governed by the generalised Navier-Stokes equations. Master's thesis, Charles University in Prague, Faculty of Mathematics and Physics, 2004. [ bib | .pdf ]

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