Publications

Preprints

[1] 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 ]
[2] 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 ]
[3] 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] E. Feireisl, J. Neustupa, and J. Stebel. Convergence of a Brinkman-type penalization for compressible fluid flows. Journal of Differential Equations, 2010. Published online. [ bib | DOI | .pdf | Abstract ]
[2] J. Haslinger and J. Stebel. Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Numerical Analysis and Computation. Applied Mathematics and Optimization, 2010. Published online. [ bib | DOI | .pdf | Abstract ]
[3] 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 | DOI | .pdf | Abstract ]
[4] 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 | DOI | .pdf | Abstract ]
[5] 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 ]

Conference talks

Advances in Optimization and Related Topics (Barcelona, November 2010) ECCOMAS CFD 2010 (Lisbon, June 2010) AIMS Conf. on Dynamical Systems, Differential Equations and Applications (Dresden, May 2010) Workshop Heidelberg-Prague (Prague, February 2010) Seminar Current problems in numerical analysis (Prague, December 2009) Seminar on PDE's (Prague, November 2009) Modelling '09 (Rožnov, June 2009)

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