Search Results - "Pokorny, Milan"
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Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ > 3
Published in Journal of Differential Equations (25-12-2023)“…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…”
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2
Weak Solutions for Some Compressible Multicomponent Fluid Models
Published in Archive for rational mechanics and analysis (2020)“…The principle purpose of this work is to investigate a “viscous” version of a “simple” but still realistic bi-fluid model described in Bresch et al. (in: Giga…”
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3
Homogenization of stationary Navier–Stokes–Fourier system in domains with tiny holes
Published in Journal of Differential Equations (25-03-2021)“…We study the homogenization of stationary compressible Navier–Stokes–Fourier system in a bounded three dimensional domain perforated with a large number of…”
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4
Steady Compressible Navier–Stokes–Fourier Equations with Dirichlet Boundary Condition for the Temperature
Published in Journal of mathematical fluid mechanics (01-02-2022)“…Based on the recent result from Chaudhuri and Feireisl (Navier–Stokes–Fourier system with Dirichlet boundary conditions, 2021. arXiv:2106.05315 ) for the…”
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5
Weak solutions for the Stokes system for compressible non‐Newtonian fluids with unbounded divergence
Published in Mathematical methods in the applied sciences (30-05-2023)“…We investigate the existence of weak solutions to a certain system of partial differential equations, modeling the behavior of a compressible non‐Newtonian…”
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6
Weak and variational entropy solutions to the system describing steady flow of a compressible reactive mixture
Published in Nonlinear analysis (01-08-2017)“…We consider a system of partial differential equations which describes steady flow of a compressible heat conducting chemically reacting gaseous mixture. We…”
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7
Continuity equation and vacuum regions in compressible flows
Published in Journal of evolution equations (01-09-2021)“…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…”
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8
Steady solutions to a model of compressible chemically reacting fluid with high density
Published in Mathematical methods in the applied sciences (30-05-2021)“…We consider a model describing the steady flow of compressible heat‐conducting chemically reacting multicomponent mixture. We show the existence of strong…”
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9
Weak Solutions for Compressible Navier–Stokes–Fourier System in Two Space Dimensions with Adiabatic Exponent Almost One
Published in Acta applicandae mathematicae (01-04-2021)“…We study the evolutionary compressible Navier–Stokes–Fourier system in a bounded two-dimensional domain with the pressure law p ( ϱ , θ ) ∼ ϱ θ + ϱ log α ( 1 +…”
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10
Two-Phase Compressible/Incompressible Navier–Stokes System with Inflow-Outflow Boundary Conditions
Published in Journal of mathematical fluid mechanics (01-08-2022)“…We prove the existence of a weak solution to the compressible Navier–Stokes system with singular pressure that explodes when density achieves its congestion…”
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11
Existence of weak solutions for compressible Navier–Stokes equations with entropy transport
Published in Journal of Differential Equations (15-10-2016)“…We consider the compressible Navier–Stokes system with variable entropy. The pressure is a nonlinear function of the density and the entropy/potential…”
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12
Homogenization of the evolutionary compressible Navier–Stokes–Fourier system in domains with tiny holes
Published in Journal of elliptic and parabolic equations (01-12-2021)“…We study the homogenization of the evolutionary compressible Navier–Stokes–Fourier system in a bounded three-dimensional domain perforated with a large number…”
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13
Time-periodic solutions to the full Navier–Stokes–Fourier system with radiation on the boundary
Published in Journal of mathematical analysis and applications (01-08-2015)“…The Navier–Stokes–Fourier system is a well established model to describe motion of viscous compressible heat-conducting fluids. We study the existence of…”
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14
Time-Periodic Solutions to the Full Navier–Stokes–Fourier System
Published in Archive for rational mechanics and analysis (01-06-2012)“…We consider the full Navier–Stokes–Fourier system describing the motion of a compressible viscous and heat conducting fluid driven by a time-periodic external…”
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15
QLS-integrality of complete r-partite graphs
Published in Filomat (2015)“…A graph G is called A-integral (L-integral, Q-integral, S-integral) if the spectrum of its adjacency (Laplacian, signless Laplacian, Seidel) matrix consists…”
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16
On Anisotropic Regularity Criteria for the Solutions to 3D Navier–Stokes Equations
Published in Journal of mathematical fluid mechanics (01-09-2011)“…In this short note we consider the 3D Navier–Stokes equations in the whole space, for an incompressible fluid. We provide sufficient conditions for the…”
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17
On the Steady Compressible Navier–Stokes–Fourier System
Published in Communications in mathematical physics (01-05-2009)“…We study the motion of the steady compressible heat conducting viscous fluid in a bounded three dimensional domain governed by the compressible…”
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18
The Rot-Div System in Exterior Domains
Published in Journal of mathematical fluid mechanics (01-12-2014)“…The goal of this paper is to reconsider the classical elliptic system rot v = f , div v = g in simply connected domains with bounded connected boundaries…”
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19
On distance integral graphs
Published in Discrete mathematics (06-10-2015)“…The distance eigenvalues of a connected graph G are the eigenvalues of its distance matrix D, and they form the distance spectrum of G. A graph is called…”
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20
Some New Regularity Criteria for the Navier-Stokes Equations Containing Gradient of the Velocity
Published in Applications of mathematics (Prague) (01-10-2004)“…We study the nonstationary Navier-Stokes equations in the entire three-dimensional space and give some criteria on certain components of gradient of the…”
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