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20232026
most citedHomogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent

6 citations · 6 across the 6 of their papers we have counts for

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6 papers

math.AP2026

Dissipative measure-valued solutions and weak--strong uniqueness for a viscous Baer--Nunziato system with pressure relaxation

Nilasis Chaudhuri, Milan Pokorný, Ewelina Zatorska

We study a viscous one-velocity Baer--Nunziato system for two barotropic compressible fluids in a bounded three-dimensional domain. In contrast with models in which the volume frac…

math.AP2026

Steady weak solutions to an inflow/outflow driven compressible fluid-structure interaction problem

Boris Muha, Šárka Nečasová, Milan Pokorný +2

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier…

math.AP2026

Weak-strong uniqueness for bi-fluid compressible system with algebraic closure

Yang Li, Mária Lukáčová-Medvid'ová, Milan Pokorný +1

We consider a real two-fluid system of compressible viscous fluids with a common velocity field and algebraic closure for the pressure law. The constitutive relation involves densi…

math.AP2025

On a few counterexamples to solvability of the equation in domains with external cusps

Matúš Letko, Milan Pokorný

This paper examines the solvability of the equation with a zero Dirichlet boundary condition for . A classical result establishes that f…

math.AP2024

Construction of weak solutions to the equations of a compressible viscous model

Nilasis Chaudhuri, Piotr B. Mucha, Milan Pokorný

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 syst…

math.AP2023★ 6 cited

Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent

Florian Oschmann, Milan Pokorný

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 i…