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We provide a rigorous mathematical analysis of a coupled system consisting of a floating platform in a fluid of finite depth, clamped to a flexible Euler-Bernoulli beam. The superstructure supports a rigid tip mass at its free end,…

偏微分方程分析 · 数学 2026-03-16 Vicente Ocqueteau

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

The formation of periodic wrinkles in soft layered materials due to mechanical instabilities is prevalent in nature and has been proposed for use in multiple applications. However, such phenomena have been explored predominantly in…

The instability of the interface between a dielectric and a conducting liquid, excited by a spatially homogeneous interface-normal time-periodic electric field, is studied based on experiments and theory. Special attention is paid to the…

流体动力学 · 物理学 2022-04-06 S. Dehe , M. Hartmann , A. Bandopadhyay , S. Hardt

The viscoplastic deformation (creep) of crystalline materials under constant stress involves the motion of a large number of interacting dislocations. Analytical methods and sophisticated `dislocation-dynamics' simulations have proved very…

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

偏微分方程分析 · 数学 2024-03-14 Krutika Tawri , Suncica Canic

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers, the actomyosin cortex, or epithelial cell sheets. These interfaces exhibit a complex interplay between elasticity, low Reynolds number…

流体动力学 · 物理学 2019-06-12 Alejandro Torres-Sánchez , Daniel Millán , Marino Arroyo

The transport of particles across lipid-bilayer membranes is important for biological cells to exchange information and material with their environment. Large particles often get wrapped by membranes, a process which has been intensively…

软凝聚态物质 · 物理学 2024-06-04 Jiarul Midya , Thorsten Auth , Gerhard Gompper

We analyze the steady non-Newtonian fluid-structure interaction between the flow of an Oldroyd-B fluid and a deformable channel. Specifically, we provide a theoretical framework for calculating the leading-order effect of the fluid's…

流体动力学 · 物理学 2023-01-26 Evgeniy Boyko , Ivan C. Christov

Theoretical studies on linear shear instabilities often use simple velocity and density profiles (e.g. constant, piecewise) for obtaining good qualitative and quantitative predictions of the initial disturbances. Furthermore, such simple…

流体动力学 · 物理学 2017-09-28 Divyanshu Bhardwaj , Anirban Guha

Two drifting wave buoys were deployed in the central Arctic Ocean, north of the Laptev Sea, where there are historically no wave observations available. An experimental wave buoy was deployed alongside a commercial buoy. The inter-buoy…

Europa's icy surface likely overlies an ocean, but the ice thickness is not known. Here we model the temporal growth of a Europan shell of pure ice subject to varying ice-ocean heat fluxes, ice rheologies, and internal heating rates. Both…

地球与行星天体物理 · 物理学 2023-10-02 Nicole C. Shibley , Jeremy Goodman

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 and located on a part of the boundary of the fluid domain.…

偏微分方程分析 · 数学 2021-05-26 Debayan Maity , Takéo Takahashi

In this article we develop a theoretical framework to study the hydrodynamic interactions in the presence of a non-flat and no-slip boundary. We calculate the influence of a small amplitude and sinusoidal deformations of a boundary wall in…

软凝聚态物质 · 物理学 2015-05-20 Somaye Hosseini Rad , Ali najafi

We report numerical investigations of wave turbulence in a vibrating plate. The possibility to implement advanced measurement techniques and long time numerical simulations makes this system extremely valuable for wave turbulence studies.…

软凝聚态物质 · 物理学 2017-10-25 Nicolas Mordant , Benjamin Miquel

Premelting describes the confluence of phenomena that are responsible for the stable existence of the liquid phase of matter in the solid region of its bulk phase diagram. Here we develop a theoretical description of the premelting of water…

软凝聚态物质 · 物理学 2013-05-29 Hendrik Hansen-Goos , J. S. Wettlaufer

Thermo-elasticity couples the deformation of an elastic (solid) body to its temperature and vice-versa. It is a solid-like property. Highlighting such property in liquids is a paradigm shift: it requires long-range collective interactions…

软凝聚态物质 · 物理学 2020-10-07 Eni Kume , Patrick Baroni , Laurence Noirez

We present a comprehensive theoretical and computational model that explores the behavior of a thin hydrated film bonded to a non-hydrated / impermeable soft substrate in the context of surface and bulk elasticity coupled with surface…

软凝聚态物质 · 物理学 2025-05-07 Jaemin Kim , Keon Ho Kim , Nikolaos Bouklas

Polar regions are covered by sea ice, which can be seen as a thin solid elastic sheet with heterogeneous mechanical properties. The dynamics of deformation of a floating solid sheet are primarly governed by gravity, water density, and the…

流体动力学 · 物理学 2025-09-03 G. Le Doudic , M. Jafari , J. Barckicke , S. Perrard , A. Eddi

We study the spatio-temporal dynamics of a model of polar active fluid in two dimensions. The system exhibits a transition from an isotropic to a polarized state as a function of density. The uniform polarized state is, however, unstable…

软凝聚态物质 · 物理学 2011-12-08 Luca Giomi , M. Cristina Marchetti