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Last update: Mgr. Dalibor Šmíd, Ph.D. (14.05.2019)
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Last update: doc. RNDr. Michal Pavelka, Ph.D. (19.10.2020)
To pass the exercises, a homework project is required to be solved, as well as the midterm. Exam will be oral, covering the project and basic knowledge from the lectures. |
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Last update: Mgr. Dalibor Šmíd, Ph.D. (14.05.2019)
Pavelka, Klika, Grmela, Multiscale Thermo-Dynamics, de Gruyter 2018 Grmela, Öttinger, Dynamics and thermodynamics of complex fluids. I. Development of a general formalism, Phys. Rev. E (1997), vol. 56(6)
Öttinger, Grmela, Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism Phys. Rev. E (1997), vol. 56(6)
Jou, Casas-Vázquez, Lebon: Understanding Non-equilibrium Thermodynamics |
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Last update: Mgr. Dalibor Šmíd, Ph.D. (14.05.2019)
Principle of least action and Hamilton's canonical equations. Basics of differential geometry, Lie groups, Lie algebras, dual of a Lie algebra, Euler-Poincaré equations of motion. Rotation of a rigid body. Semidirect product and a heavy spinning top. Infinite-dimensional Lie groups and fluid mechanics. Continuum mechanics i Lagrangian and Eulerian description, solid matter, viscoelastical fluids and fluid mechanics.
(Ir)reversibility with respect to time inversion. Dissipation potential, entropic and energetic representation. Entropy growth. General Equation for Non-equilibrium Reversible-Irreversible Coupling (GENERIC). Maximum entropy principle (MaxEnt).
Liouville equation and kinetic theory. Electromagnetic field and its interaction with matter. Mixtures. Maxwell-Stefan equations, Fick and Ohm Laws. Hyperbolic heat transfer and Fourier Law.
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