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This paper addresses the floating body problem which consists in studying the interaction of surface water waves with a floating body. We propose a new formulation of the water waves problem that can easily be generalized in order to take…

偏微分方程分析 · 数学 2016-09-21 David Lannes

We study the two-dimensional problem of propagation of linear water waves in deep water in the presence of a submerged body. Under some geometrical requirements, we derive an explicit bound for the solution depending on the domain and the…

偏微分方程分析 · 数学 2015-06-15 Ilia Kamotski , Vladimir Maz'ya

In classical continuum physics, a wave is a mechanical disturbance. Whether the disturbance is stationary or traveling and whether it is caused by the motion of atoms and molecules or the vibration of a lattice structure, a wave can be…

流体动力学 · 物理学 2014-04-14 Ivan C. Christov

The problem of a viscous flow past a submerged source starting from rest and moving with a constant velocity, below and parallel to a free surface is examined. Asymptotic expressions for long-time evolution of free-surface elevation are…

流体动力学 · 物理学 2014-03-06 Jian-Jun Shu

The Oseen problem in a viscous fluid is formulated for studying the transient free-surface and Marangoni waves generated by the impulsive motion of a submerged body beneath a surface with surfactants. Wave asymptotics and wavefronts for…

流体动力学 · 物理学 2023-08-08 Jian-Jun Shu

In this thesis we consider the free surface flow due to a submerged source in a channel of finite depth. This problem has been considered previously in the literature, with some disagreement about whether or not a train of waves exist on…

流体动力学 · 物理学 2014-02-18 Holger Paul Keeler

An interface between two media is topologically stable two-dimensional object where 3D-symmetry breaks which allows for existence of many exotic excitations. A direct way to explore surface excitations is to investigate their interaction…

其他凝聚态物理 · 物理学 2018-03-29 I. Todoshchenko

This work studies the problem of predicting the loads and motions induced by wave systems on a ship in forward motion (seakeeping). Assuming that the hull is rigid, the motion of the ship is described by the equations of rigid body…

流体动力学 · 物理学 2025-04-11 Andrea Colagrossi

Lord Kelvin's result that waves behind a ship lie within a half-angle 19 deg 28' is perhaps the most famous and striking result in the field of surface waves. We solve the linear ship wave problem in the presence of a shear current of…

流体动力学 · 物理学 2014-02-26 Simen Å. Ellingsen

The floating structure problem describes the interaction between surface water waves and a floating body, generally a boat or a wave energy converter. As shown by Lannes in [18] the equations for the fluid motion can be reduced to a set of…

偏微分方程分析 · 数学 2019-10-22 Edoardo Bocchi

The problem of submarine sediment slide which generates the surface water waves is considered. To simulate numerically the landslide motion it is used the method which permits to take into account detailed rheological properties of slide…

地球物理 · 物理学 2007-05-23 L. I. Lobkovsky , G. A. Papadopoulos , I. A. Garagash , O. R. Kozyrev , R. Kh. Mazova

The two-dimensional nonlinear problem of steady flow past a body submerged beneath an elastic sheet is considered. The mathematical model is based on the velocity potential theory with fully nonlinear boundary conditions on the fluid…

流体动力学 · 物理学 2021-06-16 Y. A. Semenov

This paper deals with the dead-water phenomenon, which occurs when a ship sails in a stratified fluid, and experiences an important drag due to waves below the surface. More generally, we study the generation of internal waves by a…

偏微分方程分析 · 数学 2021-11-18 Vincent Duchene

Gravity waves generated by an object moving at constant speed at the water surface form a specific pattern commonly known as the Kelvin wake. It was proved by Lord Kelvin that such a wake is delimited by a constant angle $\simeq…

流体动力学 · 物理学 2014-01-27 Alexandre Darmon , Michael Benzaquen , Elie Raphaël

In this paper we consider two-dimensional, stratified, steady water waves propagating over an impermeable flat bed and with a free surface. The motion is assumed to be driven by capillarity (that is, surface tension) on the surface and a…

偏微分方程分析 · 数学 2009-11-10 Samuel Walsh

We study traveling wave solutions of an equation for surface waves of moderate amplitude arising as a shallow water approximation of the Euler equations for inviscid, incompressible and homogenous fluids. We obtain solitary waves of…

经典分析与常微分方程 · 数学 2013-12-06 Armengol Gasull , Anna Geyer

In this short note, we derive a system of two nonlocal equations for the water-wave problem following the work of [AFM06]. Specifically, we consider a fluid with a one-dimensional free surface for an irrotational fluid both with, and…

流体动力学 · 物理学 2020-08-04 KL Oliveras

A new method is proposed to recover the water-wave surface elevation from pressure data obtained at the bottom of the fluid. The new method requires the numerical solution of a nonlocal nonlinear equation relating the pressure and the…

斑图形成与孤子 · 物理学 2011-12-09 Katie Oliveras , Vishal Vasan , Bernard Deconinck , Diane Henderson

While the half-angle which encloses a Kelvin ship wave pattern is commonly accepted to be 19.47 degrees, recent observations and calculations for sufficiently fast-moving ships suggest that the apparent wake angle decreases with ship speed.…

流体动力学 · 物理学 2015-05-11 Ravindra Pethiyagoda , Scott W. McCue , Timothy J. Moroney

The standard analytical approach for studying gravity free-surface waves generated by a moving body often relies upon a linearization of the physical geometry, where the body is considered asymptotically small in one or several of its…

流体动力学 · 物理学 2016-09-28 Philippe H. Trinh
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