50 citations · 128 across the 14 of their papers we have counts for
18 papers
Weak solutions and weak-strong uniqueness for a compressible power-law-Oldroyd--B fluid model
Yong Lu, Milan Pokorny
We consider a model of a viscoelastic compressible flow in which is additionally shear thickening (the stress tensor corresponds to the power law model, however, the diverg…
Steady compressible Navier-Stokes-Fourier system with general temperature dependent viscosities I: density estimates based on Bogovskii operator
Ondřej Kreml, Tomasz Piasecki, Milan Pokorný +1
The aim of this paper is to reconsider the existence theory for steady compressible Navier--Stokes--Fourier system assuming more general condition of the dependence of the viscosit…
Weak solutions for the Stokes system for compressible non-Newtonian fluids with unbounded divergence
Milan Pokorný, Maja Szlenk
We investigate the existence of weak solutions to a certain system of partial differential equations, modelling the behaviour of a compressible non-Newtonian fluid for small Reynol…
Two-phase compressible/incompressible Navier--Stokes system with inflow-outflow boundary conditions
Milan Pokornyý, Aneta Wróblewska-Kamińska, Ewelina Zatorska
We prove the existence of a weak solution to the compressible Navier--Stokes system with singular pressure that explodes when density achieves its congestion level. This is a quant…
Steady solutions to a model of compressible chemically reacting fluid with high density
Simon Axmann, Milan Pokorny
We consider a model describing the steady flow of compressible heat-conducting chemically-reacting multi-component mixture. We show the existence of strong solutions under the addi…
Continuity equation and vacuum regions in compressible flows
Antonin Novotny, Milan Pokorny
We investigate the creation and properties of eventual vacuum regions in the weak solutions of the continuity equation, in general, and in the weak solutions of compressible Navier…