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Hydraulic fractures propagating at depth are subjected to buoyant forces caused by the density contrast between fluid and solid. This paper is concerned with the analysis of the transition from an initially radial towards an elongated…

Fluid Dynamics · Physics 2022-10-20 A. Möri , B. Lecampion

The offshore wind sector relies on floating foundations for deeper waters but faces challenges from harsh conditions, nonlinear dynamics, and low-frequency resonant motions caused by second-order hydrodynamic loads. We analyze these…

Fluid Dynamics · Physics 2024-12-24 Sithik Aliyar , Henrik Bredmose , Johan Roenby , Pietro Danilo Tomaselli , Hamid Sarlak

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

We present the results of a theoretical investigation into the existence, evolution and excitation of resonant triads of nonlinear free-surface gravity waves confined to a cylinder of finite depth. It is well known that resonant triads are…

Fluid Dynamics · Physics 2023-07-19 Matthew Durey , Paul A. Milewski

Gravity waves are generated by turbulent subsurface convection overshooting or penetrating locally into a stably stratified medium. While propagating energy upwards, their characteristic negative phase shift over height is a well-recognized…

Solar and Stellar Astrophysics · Physics 2023-07-26 Hirdesh Kumar , Brajesh Kumar , S. P. Rajaguru

Wave breaking is an important process for energy dissipation in the open ocean and coastal seas. It drives beach morphodynamics, controls air-sea interactions, determines when ship and offshore structure operations can occur safely, and…

Atmospheric and Oceanic Physics · Physics 2021-01-28 Caio Eadi Stringari , Pedro Veras Guimarães , Jean-François Filipot , Fabien Leckler , Rui Duarte

Horizontal Lagrangian velocities and accelerations at the surface of steep water-waves are studied by Particle Tracking Velocimetry (PTV) for gradually increasing crest heights up to the inception of a spilling breaker. Localized steep…

Fluid Dynamics · Physics 2015-06-17 Lev Shemer , Dan Liberzon

Secondary fragmentation of an impulsively accelerated drop depends on fluid properties and velocity of the ambient. The critical Weber number $(\mathit{We}_{cr})$, the minimum Weber number at which a drop undergoes non-vibrational breakup,…

Fluid Dynamics · Physics 2025-09-17 Aditya Parik , Tadd Truscott , Som Dutta

The concept of symmetry breaking and the emergence of corresponding local order parameters constitute the pillars of modern day many body physics. The theory of quantum entanglement is currently leading to a paradigm shift in understanding…

Quantum Physics · Physics 2016-11-18 V. Zauner , D. Draxler , L. Vanderstraeten , J. Haegeman , F. Verstraete

Gerstner or trochoidal wave is the only known exact solution of the Euler equations for periodic surface gravity waves on deep water. In this Letter we utilize Zakharov's variational formulation of weakly nonlinear surface waves and,…

Fluid Dynamics · Physics 2019-03-29 Nail S. Ussembayev

Gravitational waves have predominantly been detected using interferometric techniques, with standard approaches limited to 10 kHz and with modern advancements extending this bound to 300 kHz. To explore the largely uncharted…

General Relativity and Quantum Cosmology · Physics 2025-05-01 Eduard Atonga , Ramy Aboushelbaya , Peter A. Norreys

This paper aims to give a refined wave breaking description of the Cauchy problem to the one-dimensional nonlinear shallow water equations providing a sharp estimate of the lifespan of the solutions depending on the amplitude and topography…

Analysis of PDEs · Mathematics 2026-02-26 Pingchun Liu , Jean-Claude Saut , Shihan Sun , Yuexun Wang

We report an upper bound on the strain amplitude of gravitational wave bursts in a waveband from around 800Hz to 1.25kHz. In an effective coincident observing period of 62 hours, the prototype laser interferometric gravitational wave…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Nicholson

We study the generation of gravitational waves (GWs) during a cosmological first-order phase transition (PT) using the recently introduced Higgsless approach to numerically simulate the fluid motion induced by the PT. We present for the…

General Relativity and Quantum Cosmology · Physics 2025-08-04 Chiara Caprini , Ryusuke Jinno , Thomas Konstandin , Alberto Roper Pol , Henrique Rubira , Isak Stomberg

We study the impact of gravitational waves originating from a first order phase transition on structure formation. To do so, we perform a second order perturbation analysis in the $1+3$ covariant framework and derive a wave equation in…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Christian Döring , Salvador Centelles Chuliá , Manfred Lindner , Bjoern Malte Schaefer , Matthias Bartelmann

This work studies the breakup propensity of the stratocumulus-topped boundary layer (STBL) interacting with gravity waves using large-eddy simulation with a uniform vertical grid of $5$ m and horizontal spacing of $30$ m. A…

Fluid Dynamics · Physics 2026-01-27 Arun Balakrishna , Hao Fu , Parviz Moin , Morgan O'Neill

Breaking of discrete parity at high scale gives rise to $Z_2$-domain walls (DW). The metastability of such walls can make them relatively long lived and contradict standard cosmology. We consider two classes of theories with similar…

High Energy Physics - Phenomenology · Physics 2024-01-17 Piyali Banerjee , Urjit A. Yajnik

This article concerns the water wave problem in a three-dimensional domain of infinite depth and examines the modulational regime for weakly nonlinear wavetrains. We use the method of normal form transformations near the equilibrium state…

Analysis of PDEs · Mathematics 2021-08-25 Philippe Guyenne , Adilbek Kairzhan , Catherine Sulem

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

We study the energy transfer by exact resonances for surface gravity waves in a finite periodic spatial domain. Based on a kinematic model simulating the generation of active wave modes in a finite discrete wavenumber space $\mathcal{S}_R$,…

Fluid Dynamics · Physics 2022-06-01 Zhou Zhang , Yulin Pan