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Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier–Stokes–Fourier fluid and a damped plate equation
D Maity, T Takahashi - Nonlinear Analysis: Real World Applications, 2021 - Elsevier
The article is devoted to the mathematical analysis of a fluid–structure interaction system
where the fluid is compressible and heat conducting and where the structure is deformable …
where the fluid is compressible and heat conducting and where the structure is deformable …
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 …
dimensional domain, and show that the limit system for the diameter of the holes going to …
Existence of strong solutions for a system of interaction between a compressible viscous fluid and a wave equation
In this article, we consider a fluid–structure interaction system where the fluid is viscous and
compressible and where the structure is a part of the boundary of the fluid domain and is …
compressible and where the structure is a part of the boundary of the fluid domain and is …
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 …
root'viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid …
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 …
noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain …
Local existence of strong solutions of a fluid–structure interaction model
S Mitra - Journal of Mathematical Fluid Mechanics, 2020 - Springer
We are interested in studying a system coupling the compressible Navier–Stokes equations
with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain …
with an elastic structure located at the boundary of the fluid domain. Initially the fluid domain …
A linearized viscous, compressible flow-plate interaction with non-dissipative coupling
G Avalos, PG Geredeli, JT Webster - Journal of Mathematical Analysis and …, 2019 - Elsevier
We address semigroup well-posedness for a linear, compressible viscous fluid interacting at
its boundary with an elastic plate. We derive the model by linearizing the compressible …
its boundary with an elastic plate. We derive the model by linearizing the compressible …
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 …
a compressible viscous fluid with the adiabatic constant. The existence of a weak solution for …
A time domain approach for the exponential stability of a linearized compressible flow‐structure PDE system
P Guven Geredeli - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
This work is motivated by a longstanding interest in the long time behavior of flow‐structure
interaction (FSI) PDE dynamics. We consider a linearized compressible flow structure …
interaction (FSI) PDE dynamics. We consider a linearized compressible flow structure …
Minimizing drag in a moving boundary fluid-elasticity interaction
Our goal is to minimize the fluid vorticity in the case of an elastic body moving and deforming
inside the fluid, using a distributed control. This translates into analyzing an optimal control …
inside the fluid, using a distributed control. This translates into analyzing an optimal control …