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For partially wetting, ellipsoidal colloids trapped at a fluid interface, their effective, interface--mediated interactions of capillary and fluctuation--induced type are analyzed. For contact angles different from 90$^o$, static interface…

软凝聚态物质 · 物理学 2008-07-11 H. Lehle , E. Noruzifar , M. Oettel

We address a system of equations modeling an incompressible fluid interacting with an elastic body. We prove the local existence when the initial velocity belongs to the space $H^{s}$, where $s>3/2$ and the initial structure velocity is in…

偏微分方程分析 · 数学 2022-01-17 Igor Kukavica , Amjad Tuffaha

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

In this paper, we study a nonlinear interaction problem between compressible viscous fluids and plates. For this problem, we introduce relative entropy and relative energy inequality for the finite energy weak solutions (FEWS). First, we…

偏微分方程分析 · 数学 2021-12-14 Srđan Trifunović

We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209…

流体动力学 · 物理学 2022-03-02 Gonzalo Arranz , Cayetano Martínez-Muriel , Oscar Flores , Manuel García-Villalba

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 examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our…

流体动力学 · 物理学 2024-01-25 Ran Holtzman , Marco Dentz , Marcel Moura , Mykyta Chubynsky , Ramon Planet , Jordi Ortin

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

In this work, we consider the interaction of a 3D incompressible fluid with a 2D flexible shell that occupies (a part of) the boundary of the fluid domain. We assume that the shell is perfectly elastic while the fluid is governed by the…

偏微分方程分析 · 数学 2026-05-15 Dominic Breit , Prince Romeo Mensah , Sebastian Schwarzacher , Pei Su

Capillary interactions have emerged as a tool for the directed assembly of particles adsorbed at fluid-fluid interfaces, and play a role in controlling the mechanical properties of emulsions and foams. In this paper, following Davies et al.…

软凝聚态物质 · 物理学 2015-07-23 Gary B. Davies , Lorenzo Botto

We study the dynamics of the interface between two immiscible fluids in contact with a chemically homogeneous moving solid plate. We consider the generic case of two fluids with any viscosity ratio and of a plate moving in either directions…

流体动力学 · 物理学 2015-06-15 T. S. Chan , S. Srivastava , A. Marchand , B. Andreotti , L. Biferale , F. Toschi , J. H. Snoeijer

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 address a system of equations modeling an incompressible fluid interacting with an elastic body. We prove the local existence when the initial velocity belongs to the space $H^{1.5+\epsilon}$ and the initial structure velocity is in…

偏微分方程分析 · 数学 2023-12-29 Igor Kukavica , Linfeng Li , Amjad Tuffaha

In this paper, we study a nonlinear fluid-structure interaction problem between a viscoelastic beam and a compressible viscous fluid. The beam is immersed in the fluid which fills a two-dimensional rectangular domain with periodic boundary…

偏微分方程分析 · 数学 2023-07-07 Ondřej Kreml , Václav Mácha , Šárka Nečasová , Srđan Trifunović

The capillary forces exerted by liquid drops and bubbles on a soft solid are directly measured using molecular dynamics simulations. The force on the solid by the liquid near the contact line is not oriented along the liquid vapor interface…

软凝聚态物质 · 物理学 2013-05-31 Joost H. Weijs , Bruno Andreotti , Jacco H. Snoeijer

This note aims at the following problem. In an ideal density dependent fluid system, is the total energy dissipated on shock type discontinuities? To this end, we study the local energy balance for weak solutions to the isentropic…

偏微分方程分析 · 数学 2026-05-11 Marco Inversi

Flexible rings and rectangle structures floating at the surface of water are prone to deflect under the action of surface pressure induced by the addition of surfactant molecules on the bath. While the frames of rectangles bend inward or…

流体动力学 · 物理学 2013-10-02 N. Adami , A. Delbos , B. Roman , J. Bico , H. Caps

In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved when using an energetic variational framework to derive the…

偏微分方程分析 · 数学 2018-10-12 Arkadz Kirshtein , James Brannick , Chun Liu

In this work, we consider fluid-structure interaction simulation with nonlinear hyperelastic models in the solid part. We use a partitioned approach to deal with the coupled nonlinear fluid-structure interaction problems. We focus on…

数值分析 · 数学 2013-12-20 Ulrich Langer , Huidong Yang

We study the dynamics of three particles in a finite interval, in which two light particles are separated by a heavy ``piston'', with elastic collisions between particles but inelastic collisions between the light particles and the interval…

统计力学 · 物理学 2009-11-11 P. I. Hurtado , S. Redner