15 citations · 25 across the 5 of their papers we have counts for
6 papers
Thermodynamics and stability of equilibrium/non-equilibrium steady states in thermodynamically isolated/open systems -- case study for compressible heat conducting fluid
Vít Průša
We review all the calculations necessary for the construction of a Lyapunov like functional for nonlinear stability analysis of steady states in thermodynamically isolated/open sys…
A new representation formula for the logarithmic corotational derivative -- a case study in application of commutator based functional calculus
Michal Bathory, Miroslav Bulíček, Josef Málek +1
The logarithmic corotational derivative is a key concept in rate-type constitutive relations in continuum mechanics. The derivative is defined in terms of the logarithmic spin tens…
A note on parametric resonance induced by a singular parameter modulation
Dalibor Pražák, Vít Průša, Karel Tůma
We investigate the classical problem of motion of a mathematical pendulum with an oscillating pivot. This simple mechanical setting is frequently used as the prime example of a sys…
Unconditional finite amplitude stability of a fluid in a mechanically isolated vessel with spatially non-uniform wall temperature
Mark Dostalík, Vít Průša, K. R. Rajagopal
A fluid occupying a mechanically isolated vessel with walls kept at spatially non-uniform temperature is in the long run expected to reach the spatially inhomogeneous steady state.…
On diffusive variants of some classical viscoelastic rate-type models
Mark Dostalík, Vít Průša, Tomáš Skřivan
We present a thermodynamically based approach to the design of models for viscoelastic fluids with stress diffusion effect. In particular, we show how to add a stress diffusion ter…
PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
Miroslav Bulíček, Josef Málek, Vít Průša +1
We establish the long-time existence of large-data weak solutions to a system of nonlinear partial differential equations. The system of interest governs the motion of non-Newtonia…