The next seminar “Modelling of materials – theory, model reduction and efficient numerical methods” will take place next Monday (November 12, 2018) in K3 from 9:00 till 10:30. The talk will be given by Michal Pavelka. Please see the details below.
Speaker: Michal Pavelka
Title: Geometric mechanics and thermodynamics of non-Newtonian fluids
A fluid is non-Newtonian when it exhibits behavior outside of the scope of Navier-Stokes equations. Such behavior is usually caused by some microstructure affecting the overall motion. The equations can be split into reversible and irreversible part. The reversible part is mechanics, and is thus Hamiltonian and generated by a Poisson bracket. The irreversible part is generated by a dissipation potential driving the evolution towards equilibrium (GENERIC framework). It will be shown how to construct the Poisson brackets by means of differential geometry and Lie groups (semidirect product) and how to build a dissipation potential. This is a joint work with Petr Pelech, Karel Tůma and Josef Málek.