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Related papers: Mach-like capillary-gravity wakes

200 papers

The surface gravity wave pattern that forms behind a steadily moving disturbance is well known to comprise divergent waves and transverse waves, contained within a distinctive V-shaped wake. In this paper, we are concerned with a…

Capillary waves are a classical free-surface phenomenon in fluid mechanics, yet their behavior in chiral fluids remains largely unexplored. We show that odd viscosity breaks the reciprocity of capillary waves. Using linear theory together…

Fluid Dynamics · Physics 2026-03-17 Holly du Plessis , Pedro Cosme , Hugo França , Maziyar Jalaal

We conduct large scale numerical simulations of gravitational wave production at a first order vacuum phase transition. We find a power law for the gravitational wave power spectrum at high wavenumber which falls off as $k^{-1.5}$ rather…

Cosmology and Nongalactic Astrophysics · Physics 2018-06-20 Daniel Cutting , Mark Hindmarsh , David J. Weir

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…

Fluid Dynamics · Physics 2014-02-26 Simen Å. Ellingsen

We study capillary-gravity surface waves for fluid flows governed by Darcy's law. This includes flows in vertical Hele-Shaw cells and in porous media (the one-phase Muskat problem) with finite or infinite depth. The free boundary is acted…

Analysis of PDEs · Mathematics 2026-02-20 Huy Q. Nguyen

An orbiting object in a gas rich environment creates a gravitational density wake containing information about the object and its orbit. Using linear perturbation theory, we analyze the observable properties of the gravitational wake due to…

Earth and Planetary Astrophysics · Physics 2015-05-28 Hyosun Kim

The spherical capillary water waves equation describes the motion of an almost spherical water droplet under zero gravity governed by water-air interface tension. Using para-differential calculus on compact Lie groups and homogeneous spaces…

Analysis of PDEs · Mathematics 2023-10-12 Chengyang Shao

This paper is concerned with the eigenvalues and linear inviscid damping of the 2D capillary gravity water waves of finite depth $x_2\in(-h,0)$ linearized at a monotone shear flow $U(x_2)$. Unlike the linearized Euler equation in a fixed…

Analysis of PDEs · Mathematics 2023-01-13 Xiao Liu , Chongchun Zeng

The classical irrotational capillary-gravity water wave problem described by the Euler equations with a nonlinear free surface boundary condition over a flat bed is considered. A modified flow force has been defined and a new formulation of…

Analysis of PDEs · Mathematics 2020-10-20 Biswajit Basu , Calin Iulian Martin

We experimentally investigate the wake dynamics of a square cylinder rising through quiescent water over a range of Froude numbers ($\mathrm{Fr}$). Time-resolved Particle Image Velocimetry provides velocity and vorticity fields that enable…

Fluid Dynamics · Physics 2025-11-04 Intesaaf Ashraf , Stephane Dorbolo , Neetu Tiwari

Synthetic-aperture radar images and mesoscale model results show that wind-farm wakes behave very differently than single-turbine wakes, e.g. with wakes that seemingly narrow and do not disperse over long distances. In the current work, we…

Fluid Dynamics · Physics 2025-07-16 Luca Lanzilao , Johan Meyers

We study the gravitational wave (GW) spectrum produced by acoustic waves in the early universe, such as would be produced by a first order phase transition, focusing on the low-frequency side of the peak. We confirm with numerical…

General Relativity and Quantum Cosmology · Physics 2023-12-25 Ramkishor Sharma , Jani Dahl , Axel Brandenburg , Mark Hindmarsh

The wake of a SAE squareback vehicle model is studied both experimentally and numerically for a Reynolds-number of $ Re_h = 1.0 \hspace{5pt} 10^6 $.The investigation focuses on the coherent structures of the intermediate to largest length…

Fluid Dynamics · Physics 2020-08-11 Benjamin Bock

Wave resistance is the drag force associated to the emission of waves by a moving disturbance at a fluid free surface. In the case of capillary-gravity waves it undergoes a transition from zero to a finite value as the speed of the…

Fluid Dynamics · Physics 2007-05-23 J. Browaeys , J. -C. Bacri , R. Perzynski , M. I. Shliomis

We study the properties of energy flux in wave turbulence via the Majda-McLaughlin-Tabak (MMT) equation with a quadratic dispersion relation. One of our purposes is to resolve the inter-scale energy flux $P$ in the stationary state to…

Fluid Dynamics · Physics 2022-03-02 Alexander Hrabski , Yulin Pan

We present a newly found wave--like pattern in mean Galactocentric radial velocity U_g vs. guiding centre radius R_g or angular momentum L_z of stars in the RV subsample of Gaia DR2. The short-wave pattern has a wavelength of order 1.2 kpc…

Astrophysics of Galaxies · Physics 2019-11-28 Jennifer Friske , Ralph Schönrich

Advancing and receding angles are physical quantities frequently measured to characterize the wetting properties of a rough surface. Thermodynamically, the advancing and receding angles are often interpreted as the maximum and minimum…

Soft Condensed Matter · Physics 2019-12-12 Donggyu Kim , Keonwook Kang , Seunghwa Ryu

This article concerns the Cauchy problem for the gravity-capillary water waves system in general dimensions. We establish local well-posedness for initial data in $H^s$, with $s > \frac{d}{2} + 2 - \mu$, with $\mu = \frac{3}{14}$ and $\mu =…

Analysis of PDEs · Mathematics 2023-08-31 Albert Ai

The onset mechanism of superfluidity is examined by taking the case of the capillary flow of liquid helium 4. In the capillary flow, a substantial fall of the shear viscosity has been observed in the normal phase (lambda point<T<3.7K). In…

Superconductivity · Physics 2008-09-01 Shun-ichiro Koh

We present a new framework for modeling gravitational wave diffraction near fold caustics using the Uniform Approximation (UA), focusing on binary mass lenses - axially asymmetric systems with complex caustic structures. Full-wave methods…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Anna Moreso Serra , Oleg Bulashenko