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In this paper, we study the traveling wave solutions to the density-suppressed motility model describing the ``self-trapping'' mechanism that induces spatio-temporal pattern formations observed in the experiment. We establish the existence…

Analysis of PDEs · Mathematics 2020-06-24 Jing Li , Zhi-An Wang

We consider the localization of elastic waves in thin elastic structures with spatially varying curvature profiles, using a curved rod and a singly curved shell as concrete examples. Previous studies on related problems have broadly focused…

Soft Condensed Matter · Physics 2024-03-06 Manu Mannattil , Christian D. Santangelo

Various ``cosmic shorelines" have been proposed to delineate which planets have atmospheres. The fates of individual planet atmospheres may be set by a complex sea of growth and loss processes, driven by unmeasurable environmental factors…

Earth and Planetary Astrophysics · Physics 2026-03-20 Zach K. Berta-Thompson , Patcharapol Wachiraphan , Catriona Murray

We investigate the non-linear equilibration of a two-layer quasi-geostrophic flow in a channel forced by an imposed unstable zonal mean flow, paying particular attention to the role of bottom friction. In the limit of low bottom friction,…

Fluid Dynamics · Physics 2015-06-22 Antoine Venaille , Louis-Philippe Nadeau , Geoffrey K. Vallis

The self-organization of turbulence into regular zonal flows can be fruitfully investigated with quasilinear methods and statistical descriptions. A wave kinetic equation that assumes asymptotically large-scale zonal flows is pathological.…

Plasma Physics · Physics 2016-11-15 Jeffrey B. Parker

The nature of the flow below the cloud level on Jupiter and Saturn is still unknown. Relating the flow on these planets to perturbations in their density field is key to the analysis of the gravity measurements expected from both the Juno…

Earth and Planetary Astrophysics · Physics 2016-12-21 Eli Galanti , Yohai Kaspi , Eli Tziperman

We show the existence of periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow, under gravity, whose profiles are overhanging, including one which intersects itself to enclose a…

Analysis of PDEs · Mathematics 2022-05-24 Vera Mikyoung Hur , Miles H. Wheeler

The theoretical understanding of density waves in disk galaxies starts from the classical WKB perturbative analysis of tight-winding perturbations, the key assumption being that the potential due to the density wave is approximately radial.…

Astrophysics of Galaxies · Physics 2011-09-14 X. Hernandez , I. Puerari

The population of known extrasolar planets includes giant and terrestrial planets that closely orbit their host star. Such planets experience significant tidal distortions that can force the planet into synchronous rotation. The combined…

Earth and Planetary Astrophysics · Physics 2016-08-09 Jacob Haqq-Misra , Prabal Saxena , Eric T. Wolf , Ravi Kumar Kopparapu

We prove the first bifurcation result of time quasi-periodic traveling waves solutions for space periodic water waves with vorticity. In particular we prove existence of small amplitude time quasi-periodic solutions of the gravity-capillary…

Analysis of PDEs · Mathematics 2021-03-17 Massimiliano Berti , Luca Franzoi , Alberto Maspero

The asymmetric gravity field measured by the Juno spacecraft allowed estimation of the depth of Jupiter's zonal jets, showing that the winds extend approximately $3000$ km beneath the cloud-level. This estimate was based on an analysis…

Earth and Planetary Astrophysics · Physics 2020-09-02 Keren Duer , Eli Galanti , Yohai Kaspi

Using an idealised general circulation model, we investigate the atmospheric circulation of Earth-like terrestrial planets in a variety of orbital configurations. We relax the common assumption of the planet being tidally-locked, and look…

Earth and Planetary Astrophysics · Physics 2018-12-12 James Penn , Geoffrey K Vallis

We disclose a class of stable nonlinear traveling waves moving at specific constant velocities within symmetric two-dimensional quantum droplets. We present a comprehensive analysis of these traveling bubbles and identify three…

Pattern Formation and Solitons · Physics 2025-05-28 Angel Paredes , Jose Guerra-Carmenate , Jose R. Salgueiro , Daniele Tommasini , Humberto Michinel

Periodic and solitary travelling-wave solutions of an extended reduced Ostrovsky equation are investigated. Attention is restricted to solutions that, for the appropriate choice of certain constant parameters, reduce to solutions of the…

Exactly Solvable and Integrable Systems · Physics 2008-06-20 E. John Parkes

We study the motion of an interface between two irrotational, incompressible fluids, with elastic bending forces present; this is the hydroelastic wave problem. We prove a global bifurcation theorem for the existence of families of…

Analysis of PDEs · Mathematics 2025-08-19 Benjamin F. Akers , David M. Ambrose , Davia W. Sulon

Recent studies found that atmospheric superrotation (i.e., west-to-east winds over the equator) on tidally locked planets can modify the phase of planetary waves. But, a clear relationship between the superrotation and the magnitude of the…

Atmospheric and Oceanic Physics · Physics 2021-03-17 Shuang Wang , Jun Yang

The high-precision Juno gravitational measurements allow us to infer the structure of Jupiter's deep atmospheric zonal flow. Since this inference is nonunique, it is important to explore the space of possible solutions. In this paper, we…

Earth and Planetary Astrophysics · Physics 2021-11-03 Laura Kulowski , Hao Cao , Rakesh K. Yadav , Jeremy Bloxham

Atmospheric tides can strongly affect the rotational dynamics of planets. In the family of Earth-like planets, such as Venus, this physical mechanism coupled with solid tides makes the angular velocity evolve over long timescales and…

Earth and Planetary Astrophysics · Physics 2017-07-19 Pierre Auclair-Desrotour , Jacques Laskar , Stéphane Mathis

This PhD thesis consists on a study of the atmospheric dynamics of the planet Venus with data from two space missions separated in time: the Galileo mission and Venus Express. Concretely, images obtained with different wavelengths have been…

Earth and Planetary Astrophysics · Physics 2018-10-15 Javier Peralta

A method for recognizing the types of linear acoustic gravity waves (AGWs) in the atmosphere from satellite measurements is proposed. It is shown that the polarization relations between fluctuations of wave parameters (velocity, density,…

Atmospheric and Oceanic Physics · Physics 2022-01-05 Yu. O. Klymenko , A. K. Fedorenko , E. I. Kryuchkov , O. K. Cheremnykh , A. D. Voitsekhovska , Yu. O. Selivanov