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Updated: May 14, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids
Published on: December 4, 2017
Coupling between chemical kinetics and mechanics that is both nonlinear and compatible with thermodynamics
Václav Klika1, Miroslav Grmela
1Department of Mathematics, FNSPE, Czech Technical University, Trojanova 13, Prague 2, 120 00, Czech Republic.
Abstract:
Motivated by biological applications (e.g., bone tissue development and regeneration) we investigate coupling between mesoscopic mechanics and chemical kinetics. Governing equations of both dynamical systems are first written in a form expressing manifestly their compatibility with microscopic mechanics and thermodynamics. The same form is then required from governing equations of the coupled dynamics. The main result of the paper is an admissible form of the coupled dynamics.
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