MathMAC
University center for mathematical modeling, applied analysis and computational mathematics
CUNI MFF

Michal Pavelka

pavelka@karlin.mff.cuni.cz

www.karlin.mff.cuni.cz/~pavelka

ORCID 0000-0003-0605-6737

CV

2015: PhD. Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic, topic: Thermodynamic Analysis of Processes in Hydrogen Fuel Cells (supervisor František Maršík)
2015-2016: Postdoc, École Polytechnique de Montréal, Montréal, Québec, Canada, topic: Differential geometry and non-equilibrium thermodynamics, working with Miroslav Grmela
2016-2021 (part time): Institute of Chemical Technology, Prague, Czech Republic, topic: modeling electrochemical systems (redox flow batteries), in the group of Juraj Kosek
2016-2023: Assistant professor, Mathematical Institute. Teaching undergraduates and special courses (geometric thermodynamics, electrochemistry, non-equilibrium thermodynamics). Research in geometric non-equilibrium thermodynamics, smoothed particle hydrodynamics, electrochemistry, superfluids, and machine learning
2023 - now: Associate professor (the same description)

Research

Geometric non-equilibrium thermodynamics and related numerical techniques
Theoretical electrochemistry
Machine learning

Michal Pavelka's articles on arXiv

[1]  http://arxiv.org/abs/2503.10680v3 [ html pdf ]
A geometric one-fluid model of superfluid helium-4
Nadine Suzan Cetin, Michal Pavelka, Emil Varga
Subjects: Superconductivity (cond-mat.supr-con); Superconductivity (cond-mat.supr-con),Quantum Gases (cond-mat.quant-gas),Statistical Mechanics (cond-mat.stat-mech)
[2]  http://arxiv.org/abs/2506.20242v1 [ html pdf ]
Lack-of-fit reduction in the path-integral formalism
Katerina Mlada, Michal Pavelka, Vaclav Klika
Subjects: Statistical Mechanics (cond-mat.stat-mech); Statistical Mechanics (cond-mat.stat-mech),Mathematical Physics (math-ph),Mathematical Physics (math-ph)
[3]  http://arxiv.org/abs/2409.06380v3 [ html pdf ]
Internal tensorial variables and a heat transport equation with inertial, thermal viscosity and vorticity terms
Liliana Restuccia, David Jou, Michal Pavelka
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
[4]  http://arxiv.org/abs/2307.06080v3 [ html pdf ]
Conformal and Contact Kinetic Dynamics and Their Geometrization
Oğul Esen, Ayten Gezici, Miroslav Grmela, Hasan Gümral, Michal Pavelka, Serkan Sütlü
Comments: Minor revisions
Subjects: Mathematical Physics (math-ph); Mathematical Physics (math-ph),Mathematical Physics (math-ph),37K30, 70H05
[5]  http://arxiv.org/abs/2406.14229v1 [ html pdf ]
Approaches to conservative Smoothed Particle Hydrodynamics with entropy
Michal Pavelka, Vaclav Klika, Ondrej Kincl
Subjects: Fluid Dynamics (physics.flu-dyn); Fluid Dynamics (physics.flu-dyn),Mathematical Physics (math-ph),Mathematical Physics (math-ph)
[6]  http://arxiv.org/abs/2312.09324v1 [ html pdf ]
Nonequilibrium model for compressible two-phase two-pressure flows with surface tension
Ilya Peshkov, Evgeniy Romenski, Michal Pavelka
Subjects: Fluid Dynamics (physics.flu-dyn); Fluid Dynamics (physics.flu-dyn),Mathematical Physics (math-ph),Mathematical Physics (math-ph)
[7]  http://arxiv.org/abs/2209.08557v1 [ html pdf ]
Multiscale heat transport with inertia and thermal vortices
Michal Pavelka, Liliana Restuccia, David Jou
Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mesoscale and Nanoscale Physics (cond-mat.mes-hall),Statistical Mechanics (cond-mat.stat-mech)
[8]  http://arxiv.org/abs/2207.00063v1 [ html pdf ]
Unified description of fluids and solids in Smoothed Particle Hydrodynamics
Ondřej Kincl, Ilya Peshkov, Michal Pavelka, Václav Klika
Subjects: Fluid Dynamics (physics.flu-dyn); Fluid Dynamics (physics.flu-dyn),Numerical Analysis (math.NA),Numerical Analysis (math.NA)
[9]  http://arxiv.org/abs/2205.10392v1 [ html pdf ]
On the role of geometry in statistical mechanics and thermodynamics II: Thermodynamic perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
Subjects: Statistical Mechanics (cond-mat.stat-mech); Statistical Mechanics (cond-mat.stat-mech),Mathematical Physics (math-ph),Differential Geometry (math.DG),Mathematical Physics (math-ph)
[10]  http://arxiv.org/abs/2205.10315v1 [ html pdf ]
On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
Subjects: Statistical Mechanics (cond-mat.stat-mech); Statistical Mechanics (cond-mat.stat-mech),Mathematical Physics (math-ph),Differential Geometry (math.DG),Mathematical Physics (math-ph)

[ Showing 10 of 35 total entries, additional 25 entries available at arXiv.org ]
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Josef Málek (malek@karlin.mff.cuni.cz)
project head

Charles University, Faculty of Mathematics and Physics
Mathematical Institute
Sokolovská 49/83, 186 75 Praha 8, Czech Republic

HR Award at Charles University

4EU+ Alliance