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math.AP2019
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.…
math.AP2017
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…