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We present a numerical study of spatially quasi-periodic gravity-capillary waves of finite depth in both the initial value problem and traveling wave settings. We adopt a quasi-periodic conformal mapping formulation of the Euler equations,…

流体动力学 · 物理学 2023-05-09 Jon Wilkening , Xinyu Zhao

The regimes of possible global atmospheric circulation patterns in an Earth-like atmosphere are explored using a simplified GCM based on the University of Hamburg's Portable University Model for the Atmosphere with simplified (linear)…

地球与行星天体物理 · 物理学 2019-06-19 Yixiong Wang , Peter Read , Fachreddin Tabataba-Vakili , Roland Young

In this paper, we systematically study the existence, asymptotic behaviors, uniqueness, and nonlinear orbital stability of traveling-wave solutions with small propagation speeds for the generalized surface quasi-geostrophic (gSQG) equation.…

偏微分方程分析 · 数学 2026-02-10 Daomin Cao , Shanfa Lai , Guolin Qin

We identify a new type of pattern formation in spatially distributed active systems. We simulate one-dimensional two-component systems with predator-prey local interaction and pursuit-evasion taxis between the components. In a sufficiently…

斑图形成与孤子 · 物理学 2013-05-29 V. N. Biktashev , M. A. Tsyganov

The interaction between planetary waves and an arbitrary zonal flow is studied from a phase-space viewpoint. Using the Wigner distribution, a planetary wave Vlasov equation is derived that includes the contribution of the mean flow to the…

流体动力学 · 物理学 2010-10-27 Robin D. Wordsworth

Understanding the atmospheric low-frequency variability is of crucial importance in fields such as climate studies, climate change detection, and extended-range weather forecast. The Northern Hemisphere climate features the planetary waves…

大气与海洋物理 · 物理学 2007-05-23 Paolo M. Ruti , Valerio Lucarini , Alessandro Dell'Aquila , Sandro Calmanti , Antonio Speranza

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

We provide high-order approximations to periodic travelling wave profiles and to the velocity field and the pressure beneath the waves, in flows with constant vorticity over a flat bed.

偏微分方程分析 · 数学 2015-03-16 Adrian Constantin , Konstantinos Kalimeris , Otmar Scherzer

Intense east-west winds called zonal jets are observed in the atmospheres of Jupiter and Saturn and extend in their deep interior. We present experimental results from a fully three-dimensional laboratory analog of deep gas giants zonal…

地球物理 · 物理学 2022-11-16 Daphné Lemasquerier , Benjamin Favier , Michael Le Bars

We present a numerical study of spatially quasi-periodic traveling waves on the surface of an ideal fluid of infinite depth. This is a generalization of the classic Wilton ripple problem to the case when the ratio of wave numbers satisfying…

流体动力学 · 物理学 2021-04-07 Jon Wilkening , Xinyu Zhao

We investigate regular configurations of a small number of particles settling under gravity in a viscous fluid. The particles do not touch each other and can move relative to each other. The dynamics is analyzed in the point-particle…

流体动力学 · 物理学 2014-08-26 Maria L. Ekiel-Jezewska

The dynamics of nonlinear atmospheric planetary waves is determined by a small number of independent wave clusters consisting of a few connected resonant triads. We classified the different types of connections between neighboring triads…

混沌动力学 · 物理学 2008-11-05 Elena Kartashova , Victor S. L'vov

We observed Jupiter at wavelengths near 2 cm with the Karl G. Jansky Very Large Array in February 2015. These frequencies are mostly sensitive to variations in ammonia abundance and probe between ~0.5-2.0 bars of pressure in Jupiter's…

地球与行星天体物理 · 物理学 2017-01-23 Richard Cosentino , Bryan Butler , Bob Sault , Raul Morales-Juberias , Amy Simon , Imke de Pater

In this paper, we present a complete classification of traveling wave solutions for monostable systems within a unified framework. To this end, we introduce a novel technique, referred to as the slicing method, which is based on the…

偏微分方程分析 · 数学 2025-10-28 Changhong Wu , Dongyuan Xiao , Maolin Zhou

In this Letter we consider long capillary-gravity waves described by a fully nonlinear weakly dispersive model. First, using the phase space analysis methods we describe all possible types of localized travelling waves. Then, we especially…

经典物理 · 物理学 2020-02-20 Dimitrios Mitsotakis , Denys Dutykh , Aydar Assylbekuly , Dauren Zhakebayev

Quasigeostrophic turbulence on a beta-plane with a finite deformation radius is studied nu- merically, with particular emphasis on frequency and combined wavenumber-frequency do- main analyses. Under suitable conditions, simulations with…

大气与海洋物理 · 物理学 2016-04-08 D. L. Suhas , Jai Sukhatme

We present a comprehensive study of MHD waves and instabilities in a weakly ionised system, e.g., an interstellar molecular cloud. We determine all the critical wavelengths of perturbations across which the sustainable wave modes can change…

太阳与恒星天体物理 · 物理学 2011-04-01 Telemachos Ch. Mouschovias , Glenn E. Ciolek , S. A. Morton

We investigate exact nonlinear waves on surfaces locally approximating the rotating sphere for two-dimensional inviscid incompressible flow. Our first system corresponds to a beta-plane approximation at the equator and the second to a gamma…

流体动力学 · 物理学 2024-11-20 Nick Pizzo , Rick Salmon

This paper is devoted to the study of traveling waves for monotone evolution systems of bistable type. Under an abstract setting, we establish the existence of bistable traveling waves for discrete and continuous-time monotone semiflows.…

偏微分方程分析 · 数学 2011-02-23 Jian Fang , Xiao-Qiang Zhao

At the cloud top level of Venus (65-70 km altitude) the atmosphere rotates 60 times faster than the underlying surface, a phenomenon known as superrotation. Whereas on Venus's dayside the cloud top motions are well determined and Venus…

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