The list below contains recent publications by the members of the Division of Mathematical Modelling. If you are interested in the research done by the other institutions participating on the study programme mathematical modelling, please see their own webpages. (Department of Mathematical Analysis, Department of Numerical Mathematics, Department of Surface and Plasma Science, Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University and the Institute of Mathematics and Institute of Computer Science of the Academy of Sciences of the Czech Republic to name a few.)

Popularization articles

Besides research papers and monographs we have also published some popular articles, some of them are listed below. (Mostly in Czech only.) If you want to know, on a non-technical level, what we are interested in, start here!

• Bathory, M.: Modelling and analysis of flows of viscoelastic fluids: Beyond the Navier–Stokes equations, Research Outreach, 132, 2022.
• Málek, J.; Průša, V.: Nejdéle trvající vědecký experiment a jeho poselství pro mechaniku kontinua, Vesmír 91(9), 502-504, 2012.
• Roubíček, T.: Zářné zítřky matematického modelování, Vesmír 91(9), 484-487, 2012.
• Kružík, M.; Roubíček, T.: Matematické a počítačové modelování aktivních materiálů, Vesmír 88(1), 21-23, 2009.
• Maršík, F.: Termodynamika a vznik tropických cyklonů, Vesmír 80(3), 83-85, 2001.

Journals

Most of the members of the Division of Mathematical Modelling are also members of the Nečas Center for Mathematical Modeling and their publications are listed in Nečas Center list of publications.

Books

Monographs

• Pavelka, M.; Klika, V.; Grmela, M.: Multiscale thermo-dynamics: Introduction to GENERIC, De Gruyter, Berlin, 2018.
• Feireisl, E.; Karper, T. G.; Pokorný, M.: Mathematical theory of compressible viscous fluids: Analysis and numerics, Birkhäuser, Basel, 2016.
• Mielke, A.; Roubíček, T.: Rate-Independent Systems: Theory and Application, Springer, Berlin, 2015.
• Málek, J.; Strakoš, Z.: Preconditioning and the conjugate gradient method in the context of solving PDEs, SIAM Spotlights, Society for Industrial and Applied Mathematics, Philadelphia, 2014.
• Roubíček, T.: Nonlinear partial differential equations with applications, International Series of Numerical Mathematics, 153, Birkhäuser Verlag, Basel, 2nd edition, 2013.
• Roubíček, T.: Relaxation in optimization theory and variational calculus, de Gruyter Series in Nonlinear Analysis and Applications, 4, Walter de Gruyter, Berlin, 1997.
• Málek, J.; Nečas, J.; Rokyta, M.; Růžička, M.: Weak and measure valued solutions to evolutionary PDEs, Applied Mathematics and Mathematical Computation, 13. Chapman & Hall, London, 1996.

Chapters in handbooks

• Kreml, O.; Mucha, P. B.; Pokorný, M.: Existence and uniqueness of strong stationary solutions, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, (Eds: Y. Giga, A. Novotný), Springer, Berlin, 1-57, 2016.
• Málek, J.; Průša, V.: Derivation of equations for continuum mechanics and thermodynamics of fluids, Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, (Eds: Y. Giga, A. Novotný), Springer, Berlin, 1-70, 2016.
• Málek, J.; Rajagopal, K. R.: Mathematical properties of the equations governing the flow of fluids with pressure and shear rate dependent viscosities, Handbook of Mathematical Fluid Dynamics, Volume 4, (Eds: S. Friedlander, D. Serre), Elsevier, Amsterdam, 407-444, 2006.
• Málek, J.; Rajagopal, K. R.: Mathematical issues concerning the Navier-Stokes equations and some of its generalizations, Handbook of Differential Equations, Evolutionary Equations, Volume 2 (Eds: C. Dafermos, E. Feireisl), Elsevier/North Holland, Amsterdam, 371-459, 2005.

Editorship of major research handbooks and collections

• Málek, J.; Süli, E. (Eds.): Modeling Biomaterials, Nečas Center Series, Birkhäuser, 2021.
• Dafermos, C.; Pokorný, M. (Eds.): Handbook of Differential Equations: Evolutionary Equations, Volume 4, Elsevier, Amsterdam, 2008.
• Dafermos, C.; Pokorný, M. (Eds.): Handbook of Differential Equations: Evolutionary Equations, Volume 5, Elsevier, Amsterdam, 2009.