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We consider the three-dimensional fluid-structure interaction system modeling a system consisting of a viscous incompressible fluid and an elastic plate forming its moving upper boundary. The fluid is described by the incompressible…

偏微分方程分析 · 数学 2025-12-12 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

We prove existence of time-periodic weak solutions to the coupled liquid-structure problem constituted by an incompressible Navier-Stokes fluid interacting with a rigid body of finite size, subject to an {\em undamped} linear restoring…

偏微分方程分析 · 数学 2023-09-14 Denis Bonheure , Giovanni P. Galdi

We study a nonlinear coupled fluid-structure system modelling the blood flow through arteries. The fluid is described by the incompressible Navier-Stokes equations in a 2D rectangular domain where the upper part depends on a structure…

偏微分方程分析 · 数学 2018-06-26 Jean-Jérôme Casanova

In this paper, we study a nonlinear fluid-structure interaction problem driven by a multiplicative, white-in-time noise. The problem consists of the Navier-Stokes equations describing the flow of an incompressible, viscous fluid in a 2D…

偏微分方程分析 · 数学 2024-02-14 Krutika Tawri

We investigate a time-periodic fully three-dimensional fluid-structure interaction system in which the Navier-Stokes equations for an incompressible viscous fluid are coupled with a multilayered elastic structure composed of a damped thin…

偏微分方程分析 · 数学 2026-03-24 Felix Brandt , Claudiu Mîndrilă , Arnab Roy

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 changing in accordance with the motion of the structure. The…

偏微分方程分析 · 数学 2024-11-05 Dominic Breit , Arnab Roy

We study a nonlinear, moving boundary fluid-structure interaction problem between an incompressible, viscous Newtonian fluid, modeled by the 2D Navier-Stokes equations, and an elastic structure modeled by the shell or plate equations. The…

偏微分方程分析 · 数学 2016-03-07 Boris Muha , Suncica Canic

We consider a fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the 2D Navier-Stokes equations, through a thin deformable elastic tube, displacement of which is not known a priori. The…

偏微分方程分析 · 数学 2026-04-09 Krutika Tawri , Nash Ward

We prove the existence of martingale solutions to a stochastic fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the Navier-Stokes equations, through a deformable elastic tube modeled by…

偏微分方程分析 · 数学 2024-02-22 Krutika Tawri

We consider a bi-dimensional viscous incompressible fluid in interaction with a beam located at its boundary. We show the existence of strong solutions for this fluid-structure interaction system, extending a previous result where we…

偏微分方程分析 · 数学 2019-10-17 Mehdi Badra , Takéo Takahashi

We address the fluid-structure interaction between a viscous incompressible fluid and an elastic plate forming its moving upper boundary in three dimensions. The fluid is described by the incompressible Navier-Stokes equations with a free…

偏微分方程分析 · 数学 2026-03-31 Mario Bukal , Igor Kukavica , Linfeng Li , Boris Muha

We study a free-boundary fluid-structure interaction problem with growth, which arises from the plaque formation in blood vessels. The fluid is described by the incompressible Navier-Stokes equation, while the structure is considered as a…

偏微分方程分析 · 数学 2023-10-10 Helmut Abels , Yadong Liu

We study a nonlinear fluid-structure interaction problem in which the fluid is described by the three-dimensional incompressible Navier-Stokes equations, and the elastic structure is modeled by the nonlinear plate equation which includes a…

偏微分方程分析 · 数学 2019-06-05 Srđan Trifunović , Ya-Guang Wang

We study a fluid-structure interaction problem between a viscous incompressible fluid and an elastic beam with fixed endpoints in a static setting. The 3D fluid domain is bounded, nonsmooth and non simply connected, the fluid is modeled by…

偏微分方程分析 · 数学 2026-01-30 Vincenzo Bianca , Edoardo Bocchi , Filippo Gazzola

We cope with a free boundary fluid-structure interaction model. In the model, the viscous incompressible fluid interacts with elastic body via the common boundary. The motion of the fluid is governed by Navier-Stokes equations while the…

偏微分方程分析 · 数学 2019-02-19 Yizhao Qin , Pengfei Yao

A perfectly elastic beam is situated on top of a two dimensional fluid canister. The beam is deforming in accordance to an interaction with a Navier-Stokes fluid. Hence a hyperbolic equation is coupled to the Navier-Stokes equation. The…

偏微分方程分析 · 数学 2024-02-19 Sebastian Schwarzacher , Pei Su

The interaction between a viscous fluid and an elastic solid is modeled by a system of parabolic and hyperbolic equations, coupled to one another along the moving material interface through the continuity of the velocity and traction…

偏微分方程分析 · 数学 2009-11-11 Daniel Coutand , Steve Shkoller

In this paper we consider a coupled system of pdes modelling the interaction between a two--dimensional incompressible viscous fluid and a one--dimensional elastic beam located on the upper part of the fluid domain boundary. We design a…

偏微分方程分析 · 数学 2019-12-16 Jean-Jérôme Casanova , Céline Grandmont , Matthieu Hillairet

We address a quasi-stationary fluid-structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries. The blood is modeled by the…

偏微分方程分析 · 数学 2023-10-10 Helmut Abels , Yadong Liu

We introduce a two time-scale scheme which allows to extend the method of minimizing movements to hyperbolic problems. This method is used to show the existence of weak solutions to a fluid-structure interaction problem between a nonlinear,…

偏微分方程分析 · 数学 2020-08-12 Barbora Benešová , Malte Kampschulte , Sebastian Schwarzacher
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