Existence of a weak solution to a nonlinear fluid-structure interaction problem with heat exchange

V Mácha, B Muha, Š Nečasová, A Roy… - … in partial differential …, 2022 - Taylor & Francis
In this paper, we study a nonlinear interaction problem between a thermoelastic shell and a
heat-conducting fluid. The shell is governed by linear thermoelasticity equations and …

Navier-Stokes-Fourier fluids interacting with elastic shells

D Breit, S Schwarzacher - Annali della Scuola Normale …, 2023 - researchportal.hw.ac.uk
We study the motion of a compressible heat-conducting fluid in three dimensions interacting
with a nonlinear flexible shell. The fluid is described by the full Navier-Stokes-Fourier …

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 …

Existence of a local strong solution to the beam-polymeric fluid interaction system

D Breit, PR Mensah - arXiv preprint arXiv:2308.04809, 2023 - arxiv.org
We construct a unique local strong solution to the finitely extensible nonlinear elastic (FENE)
dumbbell model of Warner-type for an incompressible polymer fluid (described by the Navier …

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 …

On time-periodic solutions to an interaction problem between compressible viscous fluids and viscoelastic beams

O Kreml, V Mácha, Š Nečasová, S Trifunović - Nonlinearity, 2024 - iopscience.iop.org
In this paper, we study a nonlinear fluid-structure interaction problem between a'square-
root'viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid …

Compressible fluids interacting with 3D visco-elastic bulk solids

D Breit, M Kampschulte, S Schwarzacher - Mathematische Annalen, 2024 - Springer
We consider the physical setup of a three-dimensional fluid–structure interaction problem. A
viscous compressible gas or liquid interacts with a nonlinear, visco-elastic, three …

On the interaction problem between a compressible viscous fluid and a nonlinear thermoelastic plate

S Trifunović, YG Wang - SIAM Journal on Mathematical Analysis, 2023 - SIAM
In this paper, we study the interaction problem between a nonlinear thermoelastic plate and
a compressible viscous fluid with the adiabatic constant. The existence of a weak solution for …

Compressible fluids and elastic plates in 2D: A conditional no-contact theorem

D Breit, A Roy - arXiv preprint arXiv:2411.01994, 2024 - arxiv.org
We consider the interaction of a compressible fluid with a flexible plate in two space
dimensions. The fluid is described by the Navier--Stokes equations in a domain that is …

On a compressible fluid-structure interaction problem with slip boundary conditions

Y Liu, S Mitra, Š Nečasová - arXiv preprint arXiv:2405.09908, 2024 - arxiv.org
We study a system describing the compressible barotropic fluids interacting with (visco)
elastic solid shell/plate. In particular, the elastic structure is part of the moving boundary of …