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This paper studies the structural implications of constant vorticity for steady three-dimensional internal water waves. It is known that in many physical regimes, water waves beneath vacuum that have constant vorticity are necessarily two…

偏微分方程分析 · 数学 2023-08-09 Robin Ming Chen , Lili Fan , Samuel Walsh , Miles H. Wheeler

We prove local higher-order asymptotics for extreme water waves with vorticity near stagnation points. We obtain that the behaviour of solutions and their regularity depend substantially on the vorticity. In particular, we show that extreme…

偏微分方程分析 · 数学 2021-03-29 Vladimir Kozlov , Evgeniy Lokharu

It has been reported that traveling waves propagate periodically and stably in sub-excitable systems driven by noise [Phys. Rev. Lett. \textbf{88}, 138301 (2002)]. As a further investigation, here we observe different types of traveling…

混沌动力学 · 物理学 2008-01-17 Fen-Ni Si , Quan-Xing Liu , Jin-Zhong Zhang , Lu-Qun Zhou

Although extreme or freak waves are repeatedly measured in the oceans, their origin is largely unknown. The interaction of different water waves is seen as one reason for their emergence. One way to consider nonlinear waves in deep water is…

斑图形成与孤子 · 物理学 2020-08-28 Hendrik Fischer , Marten Hollm , Leo Dostal

In nature turbulent flows exist that are neither simply 2D nor 3D but boundary conditions, such as varying stratification, force them towards the one or the other. Here, we report the first evidence of the co-existence of 2D and 3D…

流体动力学 · 物理学 2021-09-03 Raffaele Colombi , Niclas Rohde , Michael Schlüter , Alexandra von Kameke

An idealized storm scenario is examined in which a wind-generated inertial wave interacts with a turbulent baroclinic quasi-geostrophic flow. The flow is initialized by spinning up a Eady model with a realistic stratification profile. The…

大气与海洋物理 · 物理学 2020-07-15 Olivier Asselin , William R. Young

This article describes the fluid dynamics video, "A Numerical Simulation of a Plunging Breaking Wave", which was submitted to the gallery of fluid motion at the 2009 APS/DFD conference. The simulation was of a deep-water plunging breaking…

流体动力学 · 物理学 2015-05-14 Paul Adams , Kevin George , Mike Stephens , Kyle A. Brucker , Thomas O'Shea , Douglas Dommermuth

We present both theoretical description and experimental observation of the modulation instability process and related rogue breathers in the case of stationary periodic background waves, namely cnoidal and dnoidal envelopes. Despite being…

斑图形成与孤子 · 物理学 2020-10-07 Gang Xu , Amin Chabchoub , Dmitry E. Pelinovsky , Bertrand Kibler

The dynamics of solitary gravity-capillary water waves propagating on the surface of a three-dimensional fluid domain is studied numerically. In order to accurately compute complex time dependent solutions, we simplify the full potential…

流体动力学 · 物理学 2015-06-05 Zhan Wang , Paul A Milewski

A rigorous theoretical investigation is made to study the characteristics of dust-acoustic (DA) waves (DAWs) in an electron depleted unmagnetized opposite polarity dusty plasma system that contains super-thermal ($\kappa$-distributed) ions,…

等离子体物理 · 物理学 2019-09-04 R. K. Shikha , N. A. Chowdhury , A. Mannan , A. A. Mamun

In this letter,the designable integrability(DI) of the variable coefficient derivative nonlinear Schr\"odinger equation (VCDNLSE) is shown by construction of an explicit transformation which maps VCDNLSE to the usual derivative nonlinear…

可精确求解与可积系统 · 物理学 2012-02-07 Shuwei Xu , Jingsong He , Lihong Wang

We have studied the Rogue wave existence and propagation in Ion-acoustic mode for the highly energetic case using kappa distributed electrons in accordance with the Korteweg de Vries equation that is modified KdV and extended KdV equation.…

等离子体物理 · 物理学 2022-04-12 Suman Dey , Debjit Maity , Ananya Ghosh , Priyanka Samanta , Ayanabha De , Swarniv Chandra

Based on the bilinear operator and symbol calculation, some lump solutions are presented, rationally localized in all directions in the space, to a reduced (3+1)-dimensional KP equation. The lump solutions all contain six parameters, four…

可精确求解与可积系统 · 物理学 2017-05-24 Xiaoen Zhang , Yong Chen , Xiaoyan Tang

Active turbulence is a paradigmatic and fascinating example of self-organized motion at large scales occurring in active matter. We employ massive hydrodynamic simulations of suspensions of resolved model microswimmers to tackle the…

软凝聚态物质 · 物理学 2025-03-18 Antonio Gascó , Ignacio Pagonabarraga , Andrea Scagliarini

Results from the laboratory experiments on the evolution of vortices (eddies) generated in a rotating tank with topographic beta-effect are presented. The surface elevation and velocity fields are measured by the Altimetric Imaging…

大气与海洋物理 · 物理学 2015-07-06 Yang Zhang , Y. D. Afanasyev

It is well known that the water-wave problem with weak surface tension has small-amplitude line solitary-wave solutions which to leading order are described by the nonlinear Schr\"odinger equation. The present paper contains an existence…

偏微分方程分析 · 数学 2016-09-12 Mark D. Groves , Shu-Ming Sun , Erik Wahlén

We propose to construct a temporary wave on the surface of the ocean, as a particular solution of the Saint-Venant equations with a source term involving the friction, whose shape is expected to mimic a rogue wave.

数值分析 · 数学 2009-05-20 Alain-Yves Le Roux , Marie-Noëlle Le Roux

The modulation instability is a focusing mechanism responsible for the formation of strong wave localizations not only on the water surface, but also in a variety of nonlinear dispersive media. Such dynamics is initiated from the injection…

流体动力学 · 物理学 2022-06-22 Yuchen He , Andy Witt , Stefano Trillo , Amin Chabchoub , Norbert Hoffmann

We investigate, by direct numerical simulations, the dynamics of the damped and forced nonlinear Schr\"odinger (NLS) equation in the presence of a time periodic forcing and for certain parametric regimes. It is thus revealed, that the…

斑图形成与孤子 · 物理学 2021-05-19 Sevastos Diamantidis , Theodoros P. Horikis , Nikos I. Karachalios

Solitary-like surface waves that originate from the spatio-temporal evolution of falling liquid films have been the subject of theoretical and experimental research due to their unique properties that are not readily observed in the…

流体动力学 · 物理学 2023-01-10 Ivan S. Maksymov , Andrey Pototsky
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