Geometric mechanics and thermodynamics (GENERIC)
Modelling of electrochemical systems (fuel cells, batteries)
Non-equilibrium continuum thermodynamics and hyperbolic systems
Machine learning
Conferences organized
Monograph
Michal Pavelka, Václav Klika and Miroslav Grmela. Multiscale Thermo-Dynamics, de Gruyter (Berlin), 2018
Research profile
- Geometric continuum mechanics, thermodynamics, and numerics
- Models of renewable energy sources and theoretical electrochemistry
- Multiscale thermodynamics and pattern recognition
- Geometric smoothed particle hydrodynamics for complex fluids, package SmoothedParticles.jl
- Machine learning in physics, Direct Poisson Neural Networks
- 1 monograph, 56 papers in WoS journals, 3 papers outside WoS, 2 confererence papers, 3 chapter in monograph
Papers
- 2026:
- B. Atesli, O. Esen, M. Pavelka, Contact Geometry of Relativistic Particle Motion, Accepted to Journal of Non-Equilibrium Thermodynamics, 2026, arXiv:2604.12402
- V. Votruba, Z. He, W. Qiu, C. Reina, M. Pavelka, Nonlinear GENERIC Informed Neural Networks (N-GINNs): learning GENERIC dynamics with non-quadratic dissipation potentials, Computer Methods in Applied Mechanics and Engineering, 462, 119277, 2026, Comparison of some geometric frameworks for dissipative evolution in multiscale non-equilibrium thermodynamics, 51(2), 161-183, 2026.
- B. Atesli, O. Esen, M. Grmela, and M. Pavelka, On Geometry of Dissipation in Multiscale Dynamics and Thermodynamics, J. Math. Phys. 67, 072901, 2026.
- K. Mladá, M. Pavelka, and V. Klika, Lack-of-fit reduction in the path-integral formalism, arXiv:2506.20242, 2026.
- L. Restuccia, D. Jou, and M. Pavelka, Internal tensorial variables and a heat transport equation with inertial, thermal viscosity and vorticity terms, Journal of Non-Equilibrium Thermodynamics, 51(1), 1-18, 2026.
- M. Grmela, M. Pavelka, Classical and Multiscale Non-equilibrium Thermodynamics, Ann. Acad. Rom. Sci., Ser. Math. Appl. 17(3), 2025.
- M. Pavelka, V. Klika, O. Kincl, Approaches to conservative Smoothed Particle Hydrodynamics with entropy, Advances in Continuum Physics. Advanced Structured Materials, 238, Springer, Cham, 2025
- N. S. Cetin, M. Pavelka, and E. Varga, A geometric one-fluid model of superfluid helium-4, International Journal of Engineering Science 217, 104377, 2025.
- I. Peshkov, E. Romenski, M. Pavelka, Nonequilibrium model for compressible two-phase two-pressure flows with surface tension, Continuum Mechanics and Thermodynamics 37(72), 2025.
- S. Raja, M. Šípka, M. Psenka, T. Kreiman, M Pavelka, AS Krishnapriya, Action-Minimization Meets Generative Modeling: Efficient Transition Path Sampling with the Onsager-Machlup Functional, International Conference on Machine Learning, Proceedings of Machine Learning Research, 267, 50972--51008, 2025
- O. Esen, A. Gezici, M. Grmela, H. Gümral, M. Pavelka, and S. Sütlü, Conformal and contact kinetic dynamics and their geometrization, Journal of Geometry and Physics, 209 (105369), 2025.
- K. Mladá, M. Šípka, and M. Pavelka, Lack-of-fit reduction in non-equilibrium thermodynamics applied to the Kac-Zwanzig model, Journal of Non-Equilibrium Thermodynamics, 49(2), pages 181-194, 2024.
- M. Sýkora, M. Pavelka, I. Peshkov, P. Minakowski, V. Klika, and E. Romenski, Comparison of the Symmetric Hyperbolic Thermodynamically Compatible framework with Hamiltonian mechanics of binary mixtures. Continuum Mechanics and Thermodynamics 36, 539-559, 2024.
- M. Hütter and M. Pavelka, Particle-based approach to the Eulerian distortion field and its dynamics, Continuum Mechanics and Thermodynamics (35), pages 1943-1967, 2023.
- M. Šípka, M. Pavelka, O. Esen, and M. Grmela, Direct Poisson neural networks: learning non-symplectic mechanical systems, Journal of Physics A: Mathematical and Theoretical 56(49), 2023.
- M. Šípka, J. C. B. Dietschreit, M. Pavelka, L. Grajciar, R. Gomez-Bombarelli, Optimizing probability of barrier crossing with differentiable simulators, ICML 2023 Workshop.
- M. Sýkora, M. Pavelka, L. Restuccia, and D. Jou, Multiscale heat transport with inertia and thermal vortices, Physica Scripta 98(105234), 2023.
- O. Kincl, D. Schmoranzer, M. Pavelka, Simulation of superfluid fountain effect using smoothed particle hydrodynamics, Physics of Fluids 35, 047124 (2023)
- A. Ajji, J. Chaouki, O. Esen, M. Grmela, V. Klika, and M. Pavelka, On geometry of multiscale mass action law and its fluctuations, Physica D: Nonlinear phenomena 445 (133642), 2023
- O. Kincl, M. Pavelka, Globally time-reversible fluid simulations with smoothed particle hydrodynamics. Computer Physics and Communications 284 (108593), 2023.
- O. Kincl, I. Peshkov, M. Pavelka, V. Klika, Unified description of fluids and solids in Smoothed Particle Hydrodynamics, Applied Mathematics and Computation 439(15), 1275792022, 2023.
- O. Esen, M. Pavelka, and M. Grmela, On the role of geometry in statistical mechanics and thermodynamics II: Thermodynamic perspective. J. Math. Phys. 63, 123305 (2022).
- O. Esen, M. Pavelka, and M. Grmela, On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective. J. Math. Phys. 63, 122902, 2022.
- P. Vágner, M. Pavelka, J. Fuhrmann, V. Klika, A multiscale thermodynamic generalization of Maxwell-Stefan diffusion equations and of the dusty gas model, International Journal of Heat and Mass Transfer 199 (123405), 2022.
- P. Pelech, K. Tůma, M. Pavelka, M. Šípka, M. Sýkora, On compatibility of the Natural configuration framework with GENERIC: Derivation of anisotropic rate-type models, Journal of Non-Newtonian Fluid Mechanics 305 (104808), 2022.
- L. Šatura, M. Minichová, M. Pavelka, J. Kosek, and A. Zubov, A Robust Physics-Based Calculation of Evolving Gas–Liquid Interfaces Journal of Non-Equilibrium Thermodynamics 47(2), 143-154, 2022.
- M. Szücs, M. Pavelka, R. Kovács, T. Fülöp, P. Ván, and M. Grmela. A case study of non-Fourier heat conduction using internal variables and GENERIC. Journal of Non-Equilibrium Thermodynamics, 47 (1), 31-60, 2022.
- O. Kincl, M. Pavelka, F. Maršík, and M. Sedláček, Theoretical analysis of rolling fluid turbines, SIAM Journal on Applied Mathematics,82 (1), 313-329, 2022.
- M. Sýkora, M. Pavelka, M. La Mantia, D. Jou, and M. Grmela, On the relations between large-scale models of superfluid helium-4, Physics of Fluids 33, 127124 (2021)
- Ondřej Kincl, Michal Pavelka, František Maršík and Miroslav Sedláček, How Sedláček's Bladeless Turbine Works?, In Proceedings Topical Problems of Fluid Mechanics 2021, Prague, 2021, Edited by Tomáš Bodnár, Tomáš Neustupa and David Šimurda, pp. 70-78
- O. Outrata, M. Pavelka, J. Hron, M. La Mantia, J.I. Polanco, G. Krstulovic, On the determination of vortex ring vorticity using Lagrangian particles, Journal of Fluid Mechanics 924 (A44), 2021
- Francisco Chinesta, Elias Cueto, Miroslav Grmela, Beatriz Moya, Michal Pavelka, Martin Šípka Learning Physics from Data: a Thermodynamic Interpretation, chapter in Geometric Structures of Statistical Physics, Information Geometry, and Learning (SPIGL'20, Les Houches, France, July 27–31, Eds. Frédéric Barbaresco & Frank Nielsen, Springer Proceedings in Mathematics & Statistics, v. 361, 2021, Springer)
- Miroslav Grmela, Václav Klika and Michal Pavelka, Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena, Entropy 2020, 22, 978.
- Michal Pavelka, Václav Klika and Miroslav Grmela. Generalization of the dynamical lack-of-fit reduction , Journal of Statistical Physics, 181(1), 19-52, 2020 (video).
- Michal Pavelka, Ilya Peshkov and Martin Sýkora, A note on construction of continuum mechanics and thermodynamics, Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy, 283-289, Springer, Cham, 2020.
- Michal Pavelka, Ilya Peshkov and Václav Klika, On Hamiltonian continuum mechanics, Physica D: Nonlinear phenomena 408 (2020), 132510.
- Miroslav Grmela, Václav Klika, Michal Pavelka, Gradient and GENERIC evolution towards reduced dynamics, arXiv:1912.07693. Phil. Trans.R.Soc.A378:20190472, 2020.
- P. Švančara, M. Pavelka and M. La Mantia, An experimental study of turbulent vortex rings in superfluid 4He, Journal of Fluid Mechanics, Volume 88925, A24, 2020.
- Oğul Esen, Miroslav Grmela, Hasan Gümral and Michal Pavelka, Lifts of Symmetric Tensors: Fluids, Plasma, and Grad Hierarchy, Entropy, 21(9), 907, 2019.
- Václav Klika, Michal Pavelka, Petr Vágner and Miroslav Grmela, Dynamic Maximum Entropy Reduction, Entropy 2019, 21(7), 715; https://doi.org/10.3390/e21070715
- Michal Pavelka, Václav Klika and Miroslav Grmela, Ehrenfest regularization of Hamiltonian systems, Physica D: Nonlinear phenomena, 399, 193-210, 2019
- Miroslav Grmela, Michal Pavelka, Vaclav Klika, Bing-Yang Cao and Nie Bendian, Entropy and Entropy Production in Multiscale Dynamics, Journal of Non-Equilibrium Thermodynamics, 44(3), pp. 217-233, 2019
- Pavelka, M. and Grmela, M., Braun-Le Chatelier principle in dissipative thermodynamics, Proceedings of Accademia Peloritana dei Pericolanti, Vol. 97, No. S1, A22 (2019)
- Michal Pavelka, Václav Klika and Miroslav Grmela, Thermodynamic explanation of Landau damping by reduction to hydrodynamics, Entropy 2018, 20, 457
- Ilya Peshkov, Michal Pavelka, Evgeniy Romenski, Miroslav Grmela, Continuum Mechanics and Thermodynamics in the Hamilton and the Godunov-type Formulations, Continuum Mechaanics and Thermodynamics 30(6), 1343-1378, 2018.
- Adam Janečka and Michal Pavelka, Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics. Continuum Mechanics and Thermodynamics, 30(4), 917-941, 2018.
- Adam Janečka and Michal Pavelka, Gradient dynamics and entropy production maximization, Journal of Non-equilibrium Thermodynamics, 43(1), 1-19, 2018
- Miroslav Grmela and Michal Pavelka, Landau damping in the multiscale Vlasov theory, Kinetic and Related Models (2018), 11(3), 521-545
- Václav Klika, Jan Kubant, Michal Pavelka, Jay B. Benziger, Non-equilibrium thermodynamic model of water sorption in Nafion membranes, Journal of Membrane Science 540 (2017) 35-49
- Klika, V., Pavelka, M. and Benziger, J., Functional constraints on phenomenological coefficients, Phys. Rev. E 95 (2017), 022125
- Grmela, M., Hong, L., Jou, D., Lebon, G. and Pavelka, M., Hamiltonian and Godunov Structures of the Grad Hierarchy, Phys. Rev. E 95 (2017), 033121
- Esen, O., Pavelka, M. and Grmela, M., Hamiltonian coupling of electromagnetic field and matter, International Journal of Advances in Engineering Sciences and Applied Mathematics (2017) 9(1):3-20
- Vágner, P., Pavelka, M., Maršík, F., Pitfalls of exergy analysis, Journal of Non-Equilibrium Thermodynamics (2017), 42 (2)
- Ván, P., Pavelka, M. and Grmela, M., Extra mass flux in fluid mechanics, Journal of Non-Equilibrium Thermodynamics (2017), 42 (2)
- Pavelka, M., Klika, V., Esen, O. and Grmela, M., A hierarchy of Poisson brackets in non-equilibrium thermodynamics, arXiv:1512.08010, Physica D: Nonlinear Phenomena 335 (2016), pages 54–69
- Grmela, M., Klika, V. and Pavelka, M., Reductions and Extensions in mesoscopic dynamics, Phys. Rev. E 92 (2015), 032111
- Benziger, J. B., Cheah, M. J., Klika, V. and Pavelka, M., Interfacial constraints on water and proton transport across nafion membranes, J. Polym. Sci. Part B, July 2015
- Pavelka, M., Wandschneider, F. and Mazur, P., Thermodynamic derivation of open circuit voltage in vanadium redox flow batteries, J. Power Sources (293), 2015, 400-408
- Pavelka, M., Klika, V. and Grmela, M., Time-reversal in nonequilibrium thermodynamics, Phys. Rev. E 90 (2014), 062131
- Pavelka, M., Klika, V., Vágner, P., Maršík, F., Generalization of Exergy Analysis, Applied Energy 137 (2015), pp. 158-172
- Pavelka, M., Maršík, F., Klika, V., Consistent theory of mixtures on different levels of description, Int. J. Eng. Sci. 78C (2014), pp. 192-217
- Pavelka, M., Maršík, F., Detailed thermodynamic analysis of PEM fuel cells, Int. J. Hydrogen En. 38 (2013), pp. 7102-7113