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We consider the capillary-gravity water wave equation in two dimensions. We assume that the fluid is inviscid, incompressible, irrotational and the air density is zero. We construct an energy functional and prove a local wellposedness…

Analysis of PDEs · Mathematics 2020-12-25 Siddhant Agrawal

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…

Analysis of PDEs · Mathematics 2021-11-18 Vincent Duchene

Doppler anisotropies, induced by our relative motion with respect to the source rest frame, are a guaranteed property of stochastic gravitational wave backgrounds of cosmological origin. If detected by future pulsar timing array…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Gianmassimo Tasinato

The hydroelastic response of free floating viscoelastic covers is measured using Faraday waves on the surface of a vertically oscillated fluid layer. We systematically vary the thickness $d$ of the covers to investigate its effect on the…

Fluid Dynamics · Physics 2026-05-19 Hanna Pot , Bram Christiaens , Willem van de Water

In the weak field regime, gravitational waves can be considered as being made up of collisionless, relativistic tensor modes that travel along null geodesics of the perturbed background metric. We work in this geometric optics picture to…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-17 Carlo R. Contaldi

We report ultrafast reflectivity measurements of the dynamics of the order parameter of the charge density wave (CDW) in TbTe$_3$ under anisotropic strain. We observe an increase in the frequency of the amplitude mode with increasing…

Strongly Correlated Electrons · Physics 2024-09-04 Soyeun Kim , Gal Orenstein , Anisha G. Singh , Ian R. Fisher , David A. Reis , Mariano Trigo

I present the numerical computation of speed and direction of the drift of a spiral wave in an excitable medium in the presence of an electric field. In contrast to earlier results, the drift speed presents a strong variation close to the…

Soft Condensed Matter · Physics 2007-05-23 Herve Henry

A stochastic gravitational-wave (GW) background consists of a large number of weak, independent and uncorrelated events of astrophysical or cosmological origin. The GW power on the sky is assumed to contain anisotropies on top of an…

General Relativity and Quantum Cosmology · Physics 2023-06-26 Liting Xiao , Arianna I. Renzini , Alan J. Weinstein

Equations relating the pressure at a horizontal seabed, the free-surface profile and the surface-pressure are derived for two-dimensional irrotational steady water waves with arbitrary pressure at the free surface. Special cases include…

Fluid Dynamics · Physics 2023-11-01 Didier Clamond , Joris Labarbe

We investigate theoretically the onset of capillary-gravity waves created by a small object moving at the water-air interface. It is well established that, for straight uniform motion, no steady waves appear at velocities below the minimum…

Fluid Dynamics · Physics 2010-01-13 A. D. Chepelianskii , M. Schindler , F. Chevy , E. Raphaël

We present a comprehensive theory for linear gravity-driven ship waves in the presence of a shear current with uniform vorticity, including the effects of finite water depth. The wave resistance in the presence of shear current is…

Fluid Dynamics · Physics 2016-04-25 Yan Li , Simen Å. Ellingsen

The nonlinear interaction of ultrasonic waves with a nonspherical particle may give rise to the acoustic radiation torque on the particle. This phenomenon is investigated here considering a rigid prolate spheroidal particle of subwavelength…

Fluid Dynamics · Physics 2020-04-22 Jose P. Leao-Neto , Jose H. Lopes , Glauber T. Silva

The effects of the anisotropy on the fluid pulsation modes adopting the so-called Cowling approximation and tidal deformability of strange quark stars are investigated by using the numerical integration of the hydrostatic equilibrium,…

High Energy Astrophysical Phenomena · Physics 2023-06-21 José D. V. Arbañil , Cesar V. Flores , César H. Lenzi , Juan M. Z. Pretel

We study the propagation of gravitational waves carrying arbitrary information through isotropic cosmologies. The waves are modelled as small perturbations of the background Robertson-Walker geometry. The perfect fluid matter distribution…

General Relativity and Quantum Cosmology · Physics 2014-11-17 P. A. Hogan , E. M. O'Shea

We report an experimental investigation of the wake of free falling super-hydrophobic spheres. The mutual interaction between the air layer (plastron) encapsulating the super-hydrophobic spheres and the flow is emphasised by studying the…

Fluid Dynamics · Physics 2018-08-01 Marco Castagna , Nicolas Mazellier , Azeddine Kourta

Rotating waves are a fascinating feature of a wide array of complex systems, particularly those arising in the study of many chemical and biological processes. With many rigorous mathematical investigations of rotating waves relying on the…

Dynamical Systems · Mathematics 2019-09-30 Jason J. Bramburger

Recent advances in noncommutative geometry and string theory have stimulated increasing research on noncommutative gravity. The detection of gravitational waves~(GW) opens a new window for testing this theory using observed data. In…

General Relativity and Quantum Cosmology · Physics 2026-03-18 Hanlin Song , Hao Li , Zhenwei Lyu , Jie Zhu , Jun-Chen Wang , Peixiang Ji

The excitation of solar and solar-like g modes in non-relativistic stars by arbitrary external gravitational wave fields is studied starting from the full field equations of general relativity. We develop a formalism that yields the…

Solar and Stellar Astrophysics · Physics 2010-10-25 D. M. Siegel , M. Roth

When traditional linearised theory is used to study gravity-capillary waves produced by flow past an obstruction, the geometry of the object is assumed to be small in one or several of its dimensions. In order to preserve the nonlinear…

Mathematical Physics · Physics 2015-10-16 Philippe H. Trinh , S. Jonathan Chapman

Gravitational Wave (GW) data bring an exceptional avenue to test the underlying models of coalescing compact objects. In the regime of strong gravity and high curvature, they allow the exploration of minute deviations from the best-fit…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Guillaume Dideron , Suvodip Mukherjee , Luis Lehner