Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Pokorny, Milan"'
The paper aims on the construction of weak solutions to equations of a model of compressible viscous fluids, being a simplification of the classical compressible Navier-Stokes system. We present a novel scheme for approximating systems that preserves
Externí odkaz:
http://arxiv.org/abs/2409.16933
Autor:
Oschmann, Florian, Pokorný, Milan
We consider the unsteady compressible Navier-Stokes equations in a perforated three-dimensional domain, and show that the limit system for the diameter of the holes going to zero is the same as in the perforated domain provided the perforations are s
Externí odkaz:
http://arxiv.org/abs/2302.13789
Weak solutions for the Stokes system for compressible non-Newtonian fluids with unbounded divergence
Autor:
Pokorný, Milan, Szlenk, Maja
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 Reynolds number. We construct the weak solutions despite the lack of the $L^
Externí odkaz:
http://arxiv.org/abs/2208.03978
Autor:
Lu, Yong, Pokorný, Milan
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 suitable assumptions imposed on the smallness and distribution of the
Externí odkaz:
http://arxiv.org/abs/2001.06950
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 considered satisfying some structural assumptions, with a pressure containing
Externí odkaz:
http://arxiv.org/abs/2001.06082
Autor:
Axmann, Simon, Pokorny, Milan
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 additional assumption that the mixture is sufficiently dense. We work in t
Externí odkaz:
http://arxiv.org/abs/1912.12543
Autor:
Lu, Yong, Pokorný, Milan
We start with the compressible Oldroyd--B model derived in \cite{Barrett-Lu-Suli} ({\em J. W. Barrett, Y. Lu, E. S\"uli. Existence of large-data finite-energy global weak solutions to a compressible Oldroyd--B model. Comm. Math. Sci. 15 (2017), 1265-
Externí odkaz:
http://arxiv.org/abs/1910.09270
Autor:
Novotny, Antonin, Pokorny, Milan
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--Stokes equations, in particular. The main results are based on the a
Externí odkaz:
http://arxiv.org/abs/1902.03329
Autor:
Novotny, Antonin, Pokorny, Milan
The principle purpose of this work is to investigate a "viscous" version of a "simple" but still realistic bi-fluid model described in [Bresch, Desjardin, Ghidaglia, Grenier, Hillairet] whose "non-viscous" version is derived from physical considerati
Externí odkaz:
http://arxiv.org/abs/1802.00798
Autor:
Piasecki, Tomasz, Pokorný, Milan
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 slip boundary conditions for the velocity and, in dependence on the m
Externí odkaz:
http://arxiv.org/abs/1709.06886