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Mathematical Models and Methods in Applied Sciences, 23 (13), pp. Stability with respect to domain of the low Mach number limit of compressible viscous fluids.
Feireisl, E., Karper, T., Kreml, O., Stebel, J. SIAM Journal on Mathematical Analysis, 46 (2), pp. Incompressible limits of fluids excited by moving boundaries. Feireisl, E., Kreml, O., Nečasová, Š., Neustupa, J., Stebel, J. Shape optimization for Stokes problem with threshold slip. Evolution Equations and Control Theory, 3 (2), pp. Shape optimization for non-Newtonian fluids in time-dependent domains. Journal of Optimization Theory and Applications, 165 (1), pp. On Topological Derivatives for Contact Problems in Elasticity. Giusti, S.M., Sokołowski, J., Stebel, J. Journal of Numerical Mathematics, 24 (2), pp. Error analysis of finite element and finite volume methods for some viscoelastic fluids. ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 96 (9), pp. Stokes problem with a solution dependent slip bound: Stability of solutions with respect to domains. Discrete and Continuous Dynamical Systems - Series S, 10 (6), pp. Shape optimization for Stokes problem with threshold slip boundary conditions. Haslinger, J., Mäkinen, R.A.E., Stebel, J. Shape optimization for a time-dependent model of a carousel press in glass production. Publications in journals with impact factor (associate professor, Faculy of mechatronics, TU of Liberec, 2019) (Charles University in Prague, Faculty of Mathematics and Physics, 2007) (equivalent of MSc., Charles University in Prague, Faculty of Mathematics and Physics, 2004) Numerical methods in flow and transport (lectures, exercises). Linear algebra and discrete mathematics (lectures). 2009 – 2013 Mathematical and computer analysis of evolution processes in nonlinear viscoelastic fluids (GA 2, GAČR, co-principal investigator at MÚ AV ČR). Principal investigator of 2 projects with total budget 7,5 mil. 2013 – 2017 Student grant scheme of FM TUL. 2018 - 2022 Software for complex and stochastic hydrogeological models (TH03010227, TAČR, research team member).
2019 - 2022 Prediction of properties of EDZ with impact on safety and reliability of deep repository of radioactive waste (TK02010118, TAČR, research team member).Navier-Stokes equations and their generalizations.
Numerical simulations of flow, transport and deformation of porous medium.Partial differential equations (mathematical theory and numerical methods).