activity
20142026
most citedExistence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures

11 citations · 16 across the 7 of their papers we have counts for

collaborators

8 papers

math.AP2026

Steady compressible Navier-Stokes-Fourier system with general temperature dependent viscosities and hard sphere pressure law

Zhengguang Guo, Milan Pokorný

We study the existence theory for steady compressible Navier-Stokes-Fourier system in a three dimensional bounded domain for the case of viscosities depending on the temperature in…

math.AP2020★ 1 cited

Homogenization of stationary Navier--Stokes--Fourier system in domains with tiny holes

Yong Lu, Milan Pokorný

We study the homogenization of stationary compressible Navier--Stokes--Fourier system in a bounded three dimensional domain perforated with a large number of very tiny holes. Under…

math.AP2020★ 11 cited

Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures

Miroslav Buliček, Ansgar Jüngel, Milan Pokorný +1

The existence of large-data weak solutions to a steady compressible Navier-Stokes-Fourier system for chemically reacting fluid mixtures is proved. General free energies are conside…

math.AP2019★ 3 cited

Global existence of large data weak solutions for a simplified compressible Oldroyd--B model without stress diffusion

Yong Lu, Milan Pokorný

We start with the compressible Oldroyd--B model derived in \cite{Barrett-Lu-Suli} ({\em J. W. Barrett, Y. Lu, E. Süli. Existence of large-data finite-energy global weak solutions t…

math.AP2017★ 1 cited

On steady solutions to a model of chemically reacting heat conducting compressible mixture with slip boundary conditions

Tomasz Piasecki, Milan Pokorný

We consider a model of chemically reacting heat conducting compressible mixture. We investigate the corresponding system of partial differential equations in the steady regime with…

math.AP2016

Steady solutions to viscous shallow water equations. The case of heavy water

Šimon Axmann, Piotr B. Mucha, Milan Pokorný

In this note, we show the existence of regular solutions to the stationary version of the Navier-Stokes system for compressible fluids with a density dependent viscosity, known as…

math.AP2015

Existence of stationary weak solutions for the heat conducting flows

Piotr B. Mucha, Milan Pokorný, Ewelina Zatorska

The steady compressible Navier--Stokes--Fourier system is considered, with either Dirichlet or Navier boundary conditions for the velocity and the heat flux on the boundary proport…

math.AP2014

On the global existence for a regularized model of viscoelastic non-Newtonian fluid

Ondřej Kreml, Milan Pokorný, Pavel Šalom

We study the generalized Oldroyd model with viscosity depending on the shear stress behaving like () regularized by a nonlinear…