The existence of a weak solution for a compressible multicomponent fluid structure interaction problem

M Kalousek, S Mitra, Š Nečasová - Journal de Mathématiques Pures et …, 2024 - Elsevier
We analyze a system of PDEs governing the interaction between two compressible mutually
noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain …

Homogenization of the unsteady compressible Navier-Stokes equations for adiabatic exponent γ> 3

F Oschmann, M Pokorný - Journal of Differential Equations, 2023 - Elsevier
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 …

Fluid-rigid body interaction in an incompressible electrically conducting fluid

B Benešová, Š Nečasová, J Scherz… - SIAM Journal on …, 2023 - SIAM
We analyze a mathematical model that describes the interaction between an insulating rigid
body and an incompressible electrically conducting fluid surrounding it. The model as well …

Fluid–rigid body interaction in a compressible electrically conducting fluid

J Scherz - Mathematische Nachrichten, 2023 - Wiley Online Library
We consider a system of multiple insulating rigid bodies moving inside of an electrically
conducting compressible fluid. In this system, we take into account the interaction of the fluid …

On the motion of a body with a cavity filled with magnetohydrodynamic fluid

B Huang, V Mácha, Š Nečasová - Journal of Differential Equations, 2024 - Elsevier
We study the dynamics of a coupled system, formed by a rigid body with a cavity entirely
filled with magnetohydrodynamic compressible fluid. Our aim is to derive the global …

Collision/No-collision results of a solid body with its container in a 3D compressible viscous fluid

BJ Jin, Š Nečasová, F Oschmann, A Roy - arXiv preprint arXiv:2210.04698, 2022 - arxiv.org
We consider a bounded domain $\Omega\subset\mathbb R^ 3$ and a rigid body $\mathcal
{S}(t)\subset\Omega $ moving inside a viscous compressible Newtonian fluid. We exploit the …

On the compressible micropolar fluids in a time-dependent domain

B Huang, Š Nečasová, L Zhang - Annali di Matematica Pura ed Applicata …, 2022 - Springer
We investigate compressible micropolar fluids on a time-dependent domain with slip
boundary conditions. Our contribution in this paper is threefold. Firstly, we establish the local …

Dissipative solutions to the model of a general compressible viscous fluid with the Coulomb friction law boundary condition

Š Nečasová, J Ogorzały, J Scherz - Journal of Mathematical Analysis and …, 2025 - Elsevier
We study a model of a general compressible viscous fluid subject to the Coulomb friction law
boundary condition. For this model, we introduce a dissipative formulation and prove the …

Rigid body in compressible flow with general inflow-outflow boundary data

Š Axmann, Š Nečasová, A Radošević - arXiv preprint arXiv:2408.07141, 2024 - arxiv.org
We study the motion of a rigid body within a compressible, isentropic, and viscous fluid
contained in a fixed bounded domain $\Omega\subset\mathbb {R}^ 3$. The fluid's behavior …

Feedback boundary stabilization for a viscous incompressible fluid with Navier slip boundary conditions in interaction with a damped beam

IA Djebour, T Takahashi - Nonlinear Analysis: Real World Applications, 2024 - Elsevier
We show the stabilization by a finite number of controllers of a fluid–structure interaction
system where the fluid is modeled by the Navier–Stokes system into a periodical canal and …