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The hydrodynamic influence of surface texture on static surfaces ranges from large drag penalties (roughness) to potential performance benefits (shark-like skin). Although, it is of wide-ranging research interest, the impact of roughness on…

We consider a free-boundary model for the ice-sheet interacting with an ocean. The model captures the coupling between a viscous geophysical fluid and an elastic interface through kinematic and dynamic boundary conditions that account for…

偏微分方程分析 · 数学 2025-12-09 Matthias Hieber , Igor Kukavica , Amjad Tuffaha , Qi Xu

The vertical, tip-to-tip arrangement of neighboring caudal fins, common in densely packed fish schools, has received much less attention than staggered or side-by-side pairings. We explore this configuration using a canonical system of two…

流体动力学 · 物理学 2025-07-01 Yu Pan , Yuanhang Zhu , Elizabeth Westfall , Daniel B. Quinn , Haibo Dong , George V. Lauder

We study the implementation of the island prescription in fuzzball-inspired models of black holes. As a simplified setup, we model a fuzzball by replacing the event horizon with a reflecting boundary (stretched horizon). In the framework of…

高能物理 - 理论 · 物理学 2026-05-12 Dmitry S. Ageev , Anastasia N. Zueva

In this investigation we revisit the concept of "effective free surfaces" arising in the solution of the time-averaged fluid dynamics equations in the presence of free boundaries. This work is motivated by applications of the optimization…

流体动力学 · 物理学 2012-09-04 R. Yapalparvi , B. Protas

Packing frustration for confined fluids, i.e., the incompatibility between the preferred packing of the fluid particles and the packing constraints imposed by the confining surfaces, is studied for a dense hard-sphere fluid confined between…

软凝聚态物质 · 物理学 2014-09-05 Kim Nygård , Sten Sarman , Roland Kjellander

This paper concerns the dynamics of a layer of incompressible viscous fluid lying above a rigid plane and with an upper boundary given by a free surface. The fluid is subject to a constant external force with a horizontal component, which…

偏微分方程分析 · 数学 2018-03-14 Ian Tice

In this paper we study the well-posedness in Sobolev spaces of the incompressible Euler equations in an infinite strip delimited from below by a non-flat bottom and from above by a free-surface. We allow the presence of vorticity and…

偏微分方程分析 · 数学 2025-07-22 Théo Fradin

Surface tension tends to minimize the area of interfaces between pieces of matter in different thermodynamic phases, be they in the solid or the liquid state. This can be relevant for the macroscopic shape of very soft solids, and lead to a…

软凝聚态物质 · 物理学 2016-05-24 Serge Mora , Yves Pomeau

A net force can arise on objects which lie in systems with complex energy partitions, even if the system is on average stationary. These forces are usually called fluctuation forces, as they arise due to the objects modifying the character…

流体动力学 · 物理学 2023-09-15 Daniel Putt , Rodolfo Ostilla-Mónico

The paper presents new results on localisation and transmission of flexural waves in a structured plate containing a semi-infinite two-dimensional array of rigid pins. In particular, surface waves are identified and studied at the interface…

We study the Bose--Einstein condensation in a tight-binding model with a hopping rate enhanced only on a surface. We show that this model exhibits two different critical phenomena depending on whether the hopping rate on the surface $t_s$…

统计力学 · 物理学 2018-12-03 Hiroyoshi Nakano , Shin-ichi Sasa

We derive a set of equations in conformal variables that describe a potential flow of an ideal inviscid fluid with free surface in a bounded domain. This formulation is free of numerical instabilities present in the equations for the…

流体动力学 · 物理学 2018-12-26 Sergey A. Dyachenko

We consider the free boundary problem for two layers of immiscible, viscous, incompressible fluid in a uniform gravitational field, lying above a rigid bottom in a three-dimensional horizontally periodic setting. The effect of surface…

偏微分方程分析 · 数学 2015-09-29 Yanjin Wang , Ian Tice

In an effort to study the stability of contact lines in fluids, we consider the dynamics of a drop of incompressible viscous Stokes fluid evolving above a one-dimensional flat surface under the influence of gravity. This is a free boundary…

偏微分方程分析 · 数学 2019-07-15 Ian Tice , Lei Wu

In this manuscript we perform an extensive numerical study of the long wave interaction problem with a fixed partially immersed body into a fluid layer. The incident wave is assumed to be an isolated solitary wave. The body in this study is…

流体动力学 · 物理学 2022-04-19 Gayaz Khakimzyanov , Denys Dutykh , Oleg Gusev

Despite the importance of ice nucleation, this process has been barely explored at negative pressures. Here, we study homogeneous ice nucleation in stretched water by means of Molecular Dynamics Seeding simulations using the TIP4P/Ice…

软凝聚态物质 · 物理学 2023-04-05 P. Montero de Hijes , J. R. Espinosa , C. Vega , C. Dellago

We develop an athermal shear-transformation-zone (STZ) theory of plastic deformation in spatially inhomogeneous, amorphous solids. Our ultimate goal is to describe the dynamics of the boundaries of voids or cracks in such systems when they…

材料科学 · 物理学 2009-11-11 Eran Bouchbinder , J. S. Langer , Ting-Shek Lo , Itamar Procaccia

A drop of water that freezes from the outside-in presents an intriguing problem: the expansion of water upon freezing is incompatible with the self-confinement by a rigid ice shell. Using high-speed imaging we show that this conundrum is…

流体动力学 · 物理学 2017-04-05 Sander Wildeman , Sebastian Sterl , Chao Sun , Detlef Lohse

The problem of partially hinged and partially free rectangular plate that aims to represent a suspension bridge subject to some external forces (for example the wind) is considered in order to model and simulate the unstable end behavior.…

数值分析 · 数学 2024-04-17 Raj Narayan Dhara , Krzysztof E. Rutkowski , Katarzyna Szulc