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Wave--current interaction (WCI) dynamics energizes and mixes the ocean thermocline by producing a combination of Langmuir circulation, internal waves and turbulent shear flows, which interact over a wide range of time scales. Two…

Fluid Dynamics · Physics 2019-09-04 Darryl D. Holm

Wind forcing of the ocean generates a spectrum of inertia-gravity waves that is sharply peaked near the local inertial (or Coriolis) frequency. The corresponding near-inertial waves (NIWs) are highly energetic and play a significant role in…

Fluid Dynamics · Physics 2023-07-19 Jin-Han Xie , Jacques Vanneste

An inertia-gravity wave (IGW) propagating in a vertically sheared, rotating stratified fluid interacts with the pair of inertial levels that surround the critical level. An exact expression for the form of the IGW is derived here in the…

Atmospheric and Oceanic Physics · Physics 2023-07-19 François Lott , Christophe Millet , Jacques Vanneste

We are modelling multi-scale, multi-physics uncertainty in wave-current interaction (WCI). To model uncertainty in WCI, we introduce stochasticity into the wave dynamics of two classic models of WCI; namely, the Generalised Lagrangian Mean…

Fluid Dynamics · Physics 2021-02-03 Darryl D Holm

Detections of gravitational waves (GWs) since GW150914 has gained a contemporary interest in a potential quantum-classical correspondence between GWs and hypothetical gravitons. One such correspondence theory is stochastic gravity, whereby…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Noah M. MacKay

We begin by placing the Generalized Lagrangian Mean (GLM) equations for a compressible adiabatic fluid into the Euler-Poincar\'e (EP) variational framework of fluid dynamics, for an averaged Lagrangian. We then derive a set of approximate…

Chaotic Dynamics · Physics 2015-06-26 Darryl D. Holm

Many fluctuation-driven phenomena in fluids can be analysed effectively using the generalised Lagrangian mean (GLM) theory of Andrews & McIntyre (1978). This theory relies on particle-following averaging to incorporate the constraints…

Fluid Dynamics · Physics 2017-12-11 A. D. Gilbert , J. Vanneste

The generalized Langrangian mean theory provides exact equations for general wave-turbulence-mean flow interactions in three dimensions. For practical applications, these equations must be closed by specifying the wave forcing terms. Here…

Atmospheric and Oceanic Physics · Physics 2009-11-13 Fabrice Ardhuin , Nicolas Rascle , Kostas Belibassakis

Gravitational waves (GWs) provide a unique opportunity to test General Relativity (GR) in the highly dynamical, strong-field regime. So far, the majority of the tests of GR with GW signals have been carried out following parametrized,…

General Relativity and Quantum Cosmology · Physics 2025-06-17 Félix-Louis Julié , Lorenzo Pompili , Alessandra Buonanno

Available laser technology is opening the possibility of testing QED experimentally in the so-called strong-field regime. This calls for developing theoretical tools to investigate strong-field QED processes in electromagnetic fields of…

High Energy Physics - Phenomenology · Physics 2023-05-23 A. Di Piazza

Low-energy alternatives to General Relativity (GR) generically modify the phase of gravitational waves (GWs) during their propagation. As detector sensitivities increase, it becomes key to understand how these modifications affect the GW…

General Relativity and Quantum Cosmology · Physics 2022-08-17 Jose Maria Ezquiaga , Wayne Hu , Macarena Lagos , Meng-Xiang Lin , Fei Xu

We investigate the quasinormal modes of several families of higher-dimensional regular black holes arising in gravitational theories that incorporate an infinite tower of higher-curvature corrections to Einstein gravity. Our analysis…

General Relativity and Quantum Cosmology · Physics 2025-09-30 Juan Pablo Arbelaez

The Wheeler-DeWitt equation for the induced gravity theory is constructed in the minisuperspace approximation, and then solved using the WKB method under three types of boundary condition proposed respectively by Hartle & Hawking (``no…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Zong-Hong Zhu , Li Cao

Lagrangian averaging theories, most notably the Generalised Lagrangian Mean (GLM) theory of Andrews & McIntyre (1978), have been primarily developed in Euclidean space and Cartesian coordinates. We re-interpret these theories using a…

Fluid Dynamics · Physics 2024-05-08 Andrew D. Gilbert , Jacques Vanneste

We formulate a model of the two-way interactions between surface gravity waves and ocean currents. The model couples the transport of wave action in the four-dimensional (horizontal) position--wavevector phase space with the…

Atmospheric and Oceanic Physics · Physics 2026-02-26 Jacques Vanneste , William R. Young

We study the cosmological propagation of gravitational waves (GWs) beyond general relativity (GR) across homogeneous and isotropic backgrounds. We consider scenarios in which GWs interact with an additional tensor field and use a…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 Jose Maria Ezquiaga , Wayne Hu , Macarena Lagos , Meng-Xiang Lin

Stochastic gravitational wave background (SGWB) is a promising tool to probe the very early universe where the standard model of particle physics and cosmology are connected closely. As a possible component of SGWB, gravitational waves (GW)…

General Relativity and Quantum Cosmology · Physics 2022-03-02 Haowen Zhong , Biping Gong , Taotao Qiu

In the presence of inertia-gravity waves, the geostrophic and hydrostatic balance that characterises the slow dynamics of rapidly rotating, strongly stratified flows holds in a time-averaged sense and applies to the Lagrangian-mean velocity…

Atmospheric and Oceanic Physics · Physics 2021-01-27 Hossein A. Kafiabad , Jacques Vanneste , William R. Young

The Einstein-dilaton-Gauss-Bonnet (EdGB) theory is a modified theory of gravity which include a scalar field to couple with the higher order curvature terms. It has already been constrained with various observations include the…

General Relativity and Quantum Cosmology · Physics 2025-09-25 Jing Tan , Jian-dong Zhang , Hui-Min Fan , Jianwei Mei

Using the WKB approximation we perform a linear stability analysis for a rotational flow of a viscous and electrically conducting fluid in an external azimuthal magnetic field that has an arbitrary radial profile B_{phi}(R). In the…

Solar and Stellar Astrophysics · Physics 2014-05-29 Oleg N. Kirillov , Frank Stefani , Yasuhide Fukumoto
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