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J. Sokolowski and J. Stebel. Shape optimization for non-Newtonian fluids in time-dependent domains. 2013. [ .pdf ]
E. Feireisl, O. Kreml, Š. Nečasová, J. Neustupa, and J. Stebel. Incompressible limits of fluids excited by moving boundaries. 2013. [ .pdf ]
S.M. Giusti, J. Sokolowski, and J. Stebel. On topological derivative for contact problem in elasticity. 2012. [ .pdf ]
J. Haslinger, J. Stebel, and T. Sassi. Shape optimization for Stokes problem with threshold slip. Applications of Mathematics. To appear. [ .pdf ]
E. Feireisl, T. Karper, O. Kreml, and J. Stebel. Stability with respect to domain of the low Mach number limit of compressible viscous fluids. Mathematical Models and Methods in Applied Sciences, 23(13):2465–2493, 2013. [ DOI | .pdf ]
J. Sokolowski and J. Stebel. Shape Sensitivity Analysis of Incompressible Non-Newtonian Fluids. In System Modeling and Optimization, pages 427-436. Springer, 2013. [ DOI ]
E. Feireisl, O. Kreml, Š. Nečasová, J. Neustupa, and J. Stebel. Weak solutions to the barotropic Navier-Stokes system with slip boundary conditions in time-dependent domains. Journal of Differential Equations, 254(1):125-140, 2013. [ DOI ]
A. Hirn, M. Lanzendörfer, and J. Stebel. Finite element approximation of flow of fluids with shear-rate- and pressure-dependent viscosity. IMA Journal of Numerical Analysis, 32(4):1604-1634, 2012. [ DOI ]
J. Stebel. On shape stability of incompressible fluids subject to Navier's slip condition. Journal of Mathematical Fluid mechanics, 14(3):575-589, 2012. [ DOI ]
J. Sokolowski and J. Stebel. Shape sensitivity analysis of time-dependent flows of incompressible non-Newtonian fluids. Control and Cybernetics, 40(4):1077-1097, 2011. [ http ]
M. Lanzendörfer and J. Stebel. On a mathematical model of journal bearing lubrication. Mathematics and Computers in Simulation, 81(11):2456-2470, July 2011. [ DOI ]
M. Lanzendörfer and J. Stebel. On Pressure Boundary Conditions for Steady Flows of Incompressible Fluids with Pressure and Shear Rate Dependent Viscosities. Applications of Mathematics, 56(3):265-285, 2011. [ DOI ]
J. Haslinger and J. Stebel. Shape Optimization for Navier-Stokes Equations with Algebraic Turbulence Model: Numerical Analysis and Computation. Applied Mathematics and Optimization, 63(2):277-308, 2011. [ DOI | .pdf ]
E. Feireisl, J. Neustupa, and J. Stebel. Convergence of a Brinkman-type penalization for compressible fluid flows. Journal of Differential Equations, 250(1):596-606, 1 January 2011. [ DOI | .pdf ]
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. [ DOI | .pdf ]
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. [ DOI | .pdf ]
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. [ .pdf ]
J. Stebel. Finite element approximation of Stokes-like systems with implicit constitutive relation. In D. Ševčovič A. Handlovičová, Z. Minarechová, editor, ALGORITMY 2012 - 19th Conference on Scientific Computing, September 9 – 14, 2012. Slovak University of Technology in Bratislava, Publishing House of STU, 2012. [ .pdf ]
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.
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. [ http ]
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.
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.
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. [ .pdf ]
Jan Stebel. Shape optimization for Navier-Stokes equations with viscosity. PhD thesis, Charles University in Prague, Faculty of Mathematics and Physics, 2007. [ .pdf ]
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. [ .pdf ]
