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 …

Existence of a weak solution to a regularized moving boundary fluid-structure interaction problem with poroelastic media

J Kuan, S Čanić, B Muha - Comptes …, 2023 - comptes-rendus.academie-sciences …
We study the existence of a weak solution to a regularized, moving boundary, fluid-structure
interaction problem with multi-layered poroelastic media consisting of a reticular plate …

Unrestricted deformations of thin elastic structures interacting with fluids

M Kampschulte, S Schwarzacher, G Sperone - Journal de Mathématiques …, 2023 - Elsevier
In this paper we discuss the motion of a beam in interaction with fluids. We allow the beam to
move freely in all coordinate directions. We consider the case of a beam situated in between …

Well-posedness of the 3D Peskin problem

E García-Juárez, PC Kuo, Y Mori, RM Strain - arXiv preprint arXiv …, 2023 - arxiv.org
This paper introduces the 3D Peskin problem: a two-dimensional elastic membrane
immersed in a three-dimensional steady Stokes flow. We obtain the equations that model …

Simplified kinetic model of heart pressure for human dynamical blood flow

S Saktioto, D Defrianto, A Thoibah… - … Journal of Electrical …, 2023 - section.iaesonline.com
The blood flow that carries various particles results in disturbed physical flow in the heart
organ caused by speed, density, and pressure. This phenomenon is complicated resulting in …

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 …

Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts

M Kampschulte, B Muha, S Trifunović - Journal of Differential Equations, 2024 - Elsevier
In this paper, we study an interaction problem between a 3D compressible viscous fluid and
a 3 D nonlinear viscoelastic solid fully immersed in the fluid, coupled together on the …

Stability of the Stokes immersed boundary problem with bending and stretching energy

H Li - Journal of Functional Analysis, 2021 - Elsevier
We study the motion of a 1-D closed elastic string with bending and stretching energy
immersed in a 2-D Stokes flow. In this paper we introduce the curve's tangent angle function …

Rational decay of a multilayered structure-fluid PDE system

G Avalos, PG Geredeli, B Muha - Journal of mathematical analysis and …, 2022 - Elsevier
In this work, we consider a certain multilayered (thick layer) wave–(thin layer) wave–heat
(fluid) interactive PDE system. Such coupled PDE systems have been used in the literature …

Regularity of a weak solution to a linear fluid-composite structure interaction problem

M Galić - Glasnik matematički, 2021 - hrcak.srce.hr
REGULARITY OF A WEAK SOLUTION TO A LINEAR FLUID-COMPOSITE STRUCTURE
INTERACTION PROBLEM Marija Galic University of Zagreb, Croat Page 1 GLASNIK …