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Weak Wave Turbulence is a powerful theory to predict statistical observables of diverse relevant physical phenomena, such as ocean waves, magnetohydrodynamics and nonlinear optics. The theory is based upon an asymptotic closure permitted in…

Statistical Mechanics · Physics 2016-07-13 Sergio Chibbaro , Christophe Josserand

By performing two parallel numerical experiments -- solving the dynamical Hamiltonian equations and solving the Hasselmann kinetic equation -- we examined the applicability of the theory of weak turbulence to the description of the time…

Atmospheric and Oceanic Physics · Physics 2011-01-04 V. E. Zakharov , A. O. Korotkevich , A. Pushkarev , D. Resio

The dimensionless kinetic energy dissipation rate C_epsilon is estimated from numerical simulations of statistically stationary isotropic box turbulence that is slightly compressible. The Taylor microscale Reynolds number Re_lambda range is…

A new scaling theory for spinodal decomposition in the inertial hydrodynamic regime is presented. The scaling involves three relevant length scales, the domain size, the Taylor microscale and the Kolmogorov dissipation scale. This allows…

Condensed Matter · Physics 2009-10-31 V M Kendon

Atmospheric thermal tides arise from the diurnal contrast in stellar irradiation. They exert a significant influence on the long-term rotational evolution of rocky planets because they can accelerate the planetary spin, thereby…

Earth and Planetary Astrophysics · Physics 2025-12-12 Pierre Auclair-Desrotour , Mohammad Farhat , Gwenaël Boué , Jacques Laskar

The Weak Turbulence Theory has been applied to waves in thin elastic plates obeying the F\"oppl-Von K\'arm\'an dynamical equations. Subsequent experiments have shown a strong discrepancy between the theoretical predictions and the…

Chaotic Dynamics · Physics 2015-06-19 Benjamin Miquel , Alexandros Alexakis , Nicolas Mordant

We provide a rigorous justification of various kinetic regimes exhibited by the nonlinear Schr\"{o}dinger equation with an additive stochastic forcing and a viscous dissipation. The importance of such damped-driven models stems from their…

Analysis of PDEs · Mathematics 2026-02-19 Ricardo Grande , Zaher Hani

The goal of this work is to investigate particle motions beneath unidirectional, deep-water waves up to the third-order in nonlinearity. A particular focus is on the approximation known as Stokes drift, and how it relates to the particle…

Fluid Dynamics · Physics 2026-04-22 Raphael Stuhlmeier

By solving Laplace's tidal equations with friction terms we study the surface tide on a rapidly rotating body. When $\epsilon=\Omega^2 R/g$, the square of the ratio of dynamical timescale to rotational timescale, is very small for the Earth…

Solar and Stellar Astrophysics · Physics 2019-02-13 Xing Wei

In this paper, we propse a series expansion of the baroclinic torque in low-Mach-number flows, so that the accuracy and universality of any buoyancy term could be examined analytically, and new types of buoyancy terms could be constructed…

Fluid Dynamics · Physics 2023-06-22 Shengqi Zhang , Zhenhua Xia , Shiyi Chen

A new experimental investigation of decaying turbulence generated by a low-blockage space-filling fractal square grid is presented. We find agreement with previous works by Seoud & Vassilicos (2007) and Mazellier & Vassilicos (2010) but…

Fluid Dynamics · Physics 2011-10-14 Pedro Valente , Christos Vassilicos

We perform a statistical study on the frequency-dependent damping of slow waves propagating along polar plumes and interplumes in the solar corona. Analysis of a large sample of extreme ultraviolet (EUV) imaging data with high spatial and…

Solar and Stellar Astrophysics · Physics 2018-02-14 Sudip Mandal , S. Krishna Prasad , Dipankar Banerjee

Binary evolution codes are essential tools to help in understanding the evolution of binary systems. They contain a great deal of physics, for example stellar evolution, stellar interactions, mass transfer, tides, orbital evolution. Since…

Solar and Stellar Astrophysics · Physics 2023-12-15 Luca Sciarini , Sylvia Ekström , Patrick Eggenberger , Georges Meynet , Tassos Fragos , Han Feng Song

The accuracy of quasilinear theory applied to the electron bump-on-tail instability, a classic model problem, is explored with conservative high-order discontinuous Galerkin methods applied to both the quasilinear equations and to a direct…

Plasma Physics · Physics 2024-06-19 D. W. Crews , U. Shumlak

We check the validity of the widely used classical apsidal motion formula as a function of orbital parameters, stellar structure, and stellar rotation rate by comparing dynamical calculations of the periastron advance with the static tidal…

Astrophysics · Physics 2016-08-30 Eliot Quataert , Pawan Kumar , Chi On Ao

In this paper the Bagley-Torvik Equation is considered with the order of the damping term allowed to range between one and two. The solution is found to be representable as a convolution of trigonometric and exponential functions with the…

Classical Physics · Physics 2022-11-15 M. G. Naber , L. Lymburner

The effect of damping in the wave turbulence regime for thin vibrating plates is studied. An experimental method, allowing measurements of dissipation in the system at all scales, is first introduced. Practical experimental devices for…

In the present research work, an attempt is made to develop a coupled non-linear turbulence-structure-damper model in a finite volume-finite difference (FV-FD) framework. Tuned liquid damper (TLD) is used as the additional damping system…

Fluid Dynamics · Physics 2023-10-20 Ananya Majumdar , Biplab Ranjan Adhikary , Partha Bhattacharya

In wave turbulence, it has been believed that statistical properties are well described by the weak turbulence theory, in which nonlinear interactions among wavenumbers are assumed to be small. In the weak turbulence theory, separation of…

Chaotic Dynamics · Physics 2013-03-07 Naoto Yokoyama

Convection is thought to act as a turbulent viscosity in damping tidal flows and in driving spin and orbital evolution in close convective binary systems. This turbulent viscosity should be reduced, compared to mixing-length predictions,…

Solar and Stellar Astrophysics · Physics 2020-07-28 Jérémie Vidal , Adrian J. Barker