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We report the observation of changes in the wave turbulence properties of gravity-capillary surface waves due to a finite depth effect. When the fluid depth is decreased, a hump is observed on the wave spectrum in the capillary regime at a…

Fluid Dynamics · Physics 2011-07-14 Eric Falcon , Claude Laroche

A different approach has been used to evaluate the momentum imparted by the gravitational waves with spherical wavefronts. It is shown that the results obtained for momentum coincide with those already available in the literature.

General Relativity and Quantum Cosmology · Physics 2010-11-11 M. Sharif

The discontinuity of the vorticity is written as a function of the vector T grad s, (where T is the temperature and s the specific entropy). The expression is obtained thanks to potential equations and independently of the mass conservation…

Classical Physics · Physics 2008-12-18 Henri Gouin

We consider the stability of periodic gravity free-surface water waves traveling downstream at a constant speed over a shear flow of finite depth. In case the free surface is flat, a sharp criterion of linear instability is established for…

Analysis of PDEs · Mathematics 2007-11-28 Vera Mikyoung Hur , Zhiwu Lin

A gravitational wave must be nonlinear to be able to transport its own source, that is, energy and momentum. A physical gravitational wave, therefore, cannot be represented by a solution to a linear wave equation. Relying on this property,…

General Relativity and Quantum Cosmology · Physics 2010-03-02 R. Aldrovandi , J. G. Pereira , Roldao da Rocha , K. H. Vu

A description is made of the process of excitation of bound longitudinal-transverse gravitational waves during the propagation of electromagnetic waves in a dielectric medium. It is shown that the speed of such gravitational waves is less…

General Relativity and Quantum Cosmology · Physics 2020-04-13 A. N. Morozov , V. I. Pustovoit , I. V. Fomin

The existence of scalar fields can be probed by observations of stochastic gravitational waves. Scalar fields mediate attractive forces, usually stronger than gravity, on the length scales shorter than their Compton wavelengths, which can…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-11 Marcos M. Flores , Alexander Kusenko , Misao Sasaki

Using the FLUIDICS (Fluid Dynamics in Space) experiment in the International Space Station, turbulence of capillary waves at the air-water interface is experimentally investigated in weightlessness. Capillary waves are excited in a…

Fluid Dynamics · Physics 2020-06-14 Michael Berhanu , Eric Falcon , Guillaume Michel , Christophe Gissinger , Stéphan Fauve

We analyze gravitational waves propagating in an isotropic cosmic fluid endowed with a bulk viscosity $\zeta$ and a shear viscosity $\eta$, assuming these coefficients to vary with fluid density $\rho$ as $\rho^\lambda$, with $\lambda=1/2$…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Iver Brevik , Shin'ichi Nojiri

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

We consider the gravity-capillary water waves equations of a 2D fluid with constant vorticity. By employing variational methods we prove the bifurcation of periodic traveling water waves -- which are steady in a moving frame -- for {\it…

Analysis of PDEs · Mathematics 2025-09-12 T. Barbieri , M. Berti , A. Maspero , M. Mazzucchelli

Surface waves on a stationary flow of water are considered, in a linear model that includes the surface tension of the fluid. The resulting gravity-capillary waves experience a rich array of horizon effects when propagating against the…

General Relativity and Quantum Cosmology · Physics 2015-05-18 Germain Rousseaux , Philippe Maissa , Christian Mathis , Pierre Coullet , Thomas G. Philbin , Ulf Leonhardt

A rigid object moving in a viscous fluid and in close proximity with an elastic wall experiences self-generated elastohydrodynamic interactions. This has been the subject of an intense research activity, with a recent and growing attention…

Soft Condensed Matter · Physics 2023-07-04 Aditya Jha , Yacine Amarouchene , Thomas Salez

{Three-wave resonant interactions constitute an essential nonlinear mechanism coupling capillary surface waves. In a previous work, Haudin et al. [Phys. Rev E 93, 043110 (2016)], we have characterized experimentally the generation by this…

Fluid Dynamics · Physics 2019-07-11 Annette Cazaubiel , Florence Haudin , Eric Falcon , Michael Berhanu

Intuitively, crest speeds of water waves are assumed to match their phase velocities. However, this is generally not the case for natural waves within unsteady wave groups. This motivates our study, which presents new insights into the…

Atmospheric and Oceanic Physics · Physics 2020-07-22 Francesco Fedele , Michael L. Banner , Xavier Barthelemy

The linear stability of rapid granular flow on a slope under gravity against the longitudinal perturbation is analyzed using hydrodynamic equations. It is demonstrated that the steady flow uniform along the flow direction becomes unstable…

Statistical Mechanics · Physics 2009-11-10 Namiko Mitarai , Hiizu Nakanishi

An analytical method within the frame of linear stability theory is presented for the normal field instability in magnetic fluids. It allows to calculate the maximal growth rate and the corresponding wave number for any combination of…

patt-sol · Physics 2009-10-31 Adrian Lange , Bert Reimann , Reinhard Richter

We present a new field theory of gravity. It incorporates a great part of General Relativity (GR) and can be interpreted in the standard geometrical way like GR as far as the interaction of matter to gravity is concerned. However, it…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Luciane R. de Freitas , M. Novello

We study the behavior of the pulse waves of water into a flexible tube for application to blood flow simulations. In pulse waves both fluid friction and wall viscosity are damping factors, and difficult to evaluate separately. In this…

This article is devoted to the study of local well-posedness for deep water waves with constant vorticity in two space dimensions on the real line. The water waves can be paralinearized and written as a quasilinear dispersive system of…

Analysis of PDEs · Mathematics 2024-10-16 Lizhe Wan