84 citations · 357 across the 41 of their papers we have counts for
6 papers · 1 filter
On the thermodynamic derivation of Nernst relation
Diego del Olmo, Michal Pavelka, Juraj Kosek
What is the maximum voltage of a cell with a given electrochemical reaction? The answer to this question has been given more than a century ago by Walther Nernst and bears his name…
Gradient and GENERIC evolution towards reduced dynamics
Miroslav Grmela, Vaclav Klika, Michal Pavelka
Let (M,J) be a dynamical model of macroscopic systems and (N,K) a less microscopic model (i.e. a model involving less details) of the same macroscopic systems; M and N are manifold…
Generalization of the dynamical lack-of-fit reduction
Michal Pavelka, Vaclav Klika, Miroslav Grmela
The lack-of-fit statistical reduction, developed and formulated first by Bruce Turkington, is a general method taking Liouville equation for probability density (detailed level) an…
Learning Physics from Data: a Thermodynamic Interpretation
Francisco Chinesta, Elias Cueto, Miroslav Grmela +3
Experimental data bases are typically very large and high dimensional. To learn from them requires to recognize important features (a pattern), often present at scales different to…
On Hamiltonian continuum mechanics
Michal Pavelka, Ilya Peshkov, Vaclav Klika
Continuum mechanics can be formulated in the Lagrangian frame (addressing motion of individual continuum particles) or in the Eulerian frame (addressing evolution of fields in an i…
Multiscale thermodynamics of charged mixtures
Petr Vagner, Michal Pavelka, Ogul Esen
A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of fluids, electrodynamics, polarization and magnetization is proposed. The mechanical (revers…