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相关论文: On time-periodic solutions to an interaction probl…

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We study the interaction between incompressible viscous fluids and multilayered elastic structures in a 3D/2D/3D framework, where a 3D fluid interacts with a 2D thin elastic layer, coupled to a 3D thick elastic solid. The system is driven…

偏微分方程分析 · 数学 2025-01-14 Claudiu Mîndrilă , Arnab Roy

In this paper we study the interaction problem between a nonlinear thermoelastic plate and a compressible viscous fluid with the adiabatic constant $\gamma>12/7$. The existence of a weak solution for this problem is obtained by constructing…

偏微分方程分析 · 数学 2020-10-06 Srđan Trifunović , Ya-Guang Wang

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-dimensional bulk solid. The latter is described by a hyperbolic…

偏微分方程分析 · 数学 2021-08-09 Dominic Breit , Malte Kampschulte , Sebastian Schwarzacher

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 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

In many occurrences of fluid-structure interaction time-periodic motions are observed. We consider the interaction between a fluid driven by the three dimensional Navier-Stokes equation and a two dimensional linearized elastic Koiter shell…

偏微分方程分析 · 数学 2024-01-31 Claudiu Mîndrilă , Sebastian Schwarzacher

Under the action of a time-periodic external forces we prove the existence of at least one time-periodic weak solution for the interaction between a three-dimensional incompressible fluid, governed by the Navier- Stokes equation and a two…

偏微分方程分析 · 数学 2022-04-08 Claudiu Mîndrilă , Sebastian Schwarzacher

This paper is concerned with an interaction problem between a full compressible, electrically conducting fluid and a thermoelastic shell in a two-dimensional setting. The shell is modelled by linear thermoelasticity equations, and…

偏微分方程分析 · 数学 2025-06-10 Kuntal Bhandari , Bingkang Huang , Šárka Nečasová

We study an unsteady non linear fluid-structure interaction problem which is a simplified model to describe blood flow through viscoleastic arteries. We consider a Newtonian incompressible two-dimensional flow described by the Navier-Stokes…

偏微分方程分析 · 数学 2016-02-17 C. Grandmont , M. Hillairet

In this paper, we study the dynamics of a finite number of spherical bubbles in a compressible fluid within a bounded open domain of R 3 . The fluid-bubble interaction is described by a system of nonlinear partial differential equations…

偏微分方程分析 · 数学 2026-04-10 Fabien Lespagnol , Matthieu Hillairet

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 two different fluids as well as the case where the…

偏微分方程分析 · 数学 2022-06-17 Malte Kampschulte , Sebastian Schwarzacher , Gianmarco Sperone

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 study the existence of weak martingale solutions to a stochastic moving boundary problem arising from the interaction between an isentropic compressible fluid and a viscoelastic structure. In the model, we consider a three-dimensional…

偏微分方程分析 · 数学 2025-05-22 Jeffrey Kuan , Krutika Tawri

The motion of a thin elastic plate interacting with a viscous fluid is investigated. A periodic force acting on the plate is considered, which in a setting without damping could lead to a resonant response. The interaction with the viscous…

偏微分方程分析 · 数学 2021-03-02 Aday Celik , Mads Kyed

In this paper, we study an interaction problem between a $3D$ compressible viscous fluid and a $3D$ nonlinear viscoelastic solid fully immersed in the fluid, coupled together on the interface surface. The solid is allowed to have…

偏微分方程分析 · 数学 2023-12-20 Malte Kampschulte , Boris Muha , Srđan Trifunović

An initial-and boundary-value problem for the Kelvin-Voigt system, modeling a mixture of n incompressible and viscoelastic fluids, with non-constant density, is investigated in this work. The existence of global-in-time weak solutions is…

偏微分方程分析 · 数学 2025-06-13 S. N. Antontsev , H. B. de Oliveira , I. V. Kuznetsov , D. A. Prokudin , Kh. Khompysh

This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopically immiscible, but with a small transition region, where…

偏微分方程分析 · 数学 2024-11-15 Yadong Liu , Dennis Trautwein

We study a stationary 3D/2D fluid-structure interaction problem between an elastic structure described by the linear plate equation and a fluid described by the compressible Navier-Stokes equations with hard-sphere pressure and…

偏微分方程分析 · 数学 2026-03-30 Boris Muha , Šárka Nečasová , Milan Pokorný , Srđan Trifunović , Justin T. Webster

In this paper we introduce a numerical scheme for fluid-structure interaction problems in two or three space dimensions: A flexible elastic plate is interacting with a viscous, compressible barotropic fluid. Hence the physical domain of…

数值分析 · 数学 2020-03-10 Sebastian Schwarzacher , Bangwei She

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 the fluid, and the Navier-slip type boundary…

偏微分方程分析 · 数学 2026-05-20 Yadong Liu , Sourav Mitra , Šárka Nečasová
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