84 citations · 357 across the 41 of their papers we have counts for
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Statistical mechanics of Landau damping
Michal Pavelka, Vaclav Klika, Miroslav Grmela
Landau damping is the tendency of solutions to the Vlasov equation towards spatially homogeneous distribution functions. The distribution functions however approach the spatially h…
Continuum Mechanics and Thermodynamics in the Hamilton and the Godunov-type Formulations
Ilya Peshkov, Michal Pavelka, Evgeniy Romenski +1
Continuum mechanics with dislocations, with the Cattaneo type heat conduction, with mass transfer, and with electromagnetic fields is put into the Hamiltonian form and into the for…
Landau damping in the multiscale Vlasov theory
Miroslav Grmela, Michal Pavelka
Vlasov kinetic theory is extended by adopting an extra one particle distribution function as an additional state variable characterizing the micro-turbulence internal structure. Th…
Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics
Adam Janečka, Michal Pavelka
Reformulating constitutive relation in terms of gradient dynamics (being derivative of a dissipation potential) brings additional information on stability, metastability and instab…