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Electron plasmas confined by an external magnetic field exhibit variations in a two-dimensional plane orthogonal to the confining magnetic field. A nonlinear fluid simulation code to investigate the properties of 2-D electron plasma wave…

Plasma Physics · Physics 2009-11-13 Dastgeer Shaikh , P. K. Shukla

The scattering of three-dimensional inertia-gravity waves by a turbulent geostrophic flow leads to the redistribution of their action through what is approximately a diffusion process in wavevector space. The corresponding diffusivity…

Atmospheric and Oceanic Physics · Physics 2023-03-06 Michael R. Cox , Hossein A. Kafiabad , Jacques Vanneste

This study starts with balances deduced by Baumert and Peters (2004, 2005) from results of stratified-shear experiments made in channels and wind tunnels by Itsweire (1984) and Rohr and Van Atta (1987), and of free-decay experiments in a…

Fluid Dynamics · Physics 2012-07-09 Helmut Z. Baumert

In geophysical environments, wave motions that are shaped by the action of gravity and global rotation bear the name of gravito-inertial waves. We present a geometrical description of gravito-inertial surface waves, which are low-frequency…

Analysis of PDEs · Mathematics 2026-04-21 Yves Colin de Verdière , Jérémie Vidal

Euler's equations govern the behavior of gravity waves on the surface of an incompressible, inviscid, and irrotational fluid of arbitrary depth. We investigate the spectral stability of sufficiently small-amplitude, one-dimensional Stokes…

Fluid Dynamics · Physics 2022-03-14 Ryan Creedon , Bernard Deconinck , Olga Trichtchenko

Energy transfers from larger to smaller scales in turbulence. This energy cascade is a process of the creation of smaller-scale coherent vortices by larger ones. In our recent study (Yoneda, Goto and Tsuruhashi 2021), we reformulated the…

Fluid Dynamics · Physics 2022-05-18 Tomonori Tsuruhashi , Susumu Goto , Sunao Oka , Tsuyoshi Yoneda

We investigate how sign-indefinite quadratic invariants shape turbulent cascades in incompressible flows with broken time-reversal symmetry, where the dynamics supports strongly anisotropic dispersive waves. Focusing on rotating Euler flow…

Fluid Dynamics · Physics 2026-05-05 Shahaf Aharony Shapira , Michal Shavit

Active fluids exhibit complex turbulent-like flows at low Reynolds number. Recent work predicted that 2d active nematic turbulence follows universal scaling laws. However, experimentally testing these predictions is conditioned by the…

Elastic turbulence is the chaotic fluid motion resulting from elastic instabilities due to the addition of polymers in small concentrations at very small Reynolds ($\mbox{Re}$) numbers. Our direct numerical simulations show that elastic…

Fluid Dynamics · Physics 2024-04-24 Rahul K. Singh , Prasad Perlekar , Dhrubaditya Mitra , Marco E. Rosti

Turbulence is generally associated with universal power-law spectra in scale ranges without significant drive or damping. Although many examples of turbulent systems do not exhibit such an inertial range, power-law spectra may still be…

Fluid Dynamics · Physics 2015-06-16 Vasil Bratanov , Frank Jenko , David Hatch , Michael Wilczek

The equations of electrostatic drift kinetics are observed to possess a symmetry associated with their intrinsic scale invariance. Under the assumptions of spatial periodicity, stationarity, and locality, this symmetry implies a particular…

Plasma Physics · Physics 2023-08-23 T. Adkins , P. G. Ivanov , A. A. Schekochihin

The inertial subrange of turbulence in a density stratified environment is the transition from internal waves to isotropic turbulence, but it is unclear how to interpret its extension to anisotropic stratified turbulence. Knowledge about…

Atmospheric and Oceanic Physics · Physics 2019-07-31 Hans van Haren

This paper studies the turbulent cascade of magnetic energy in weakly collisional magnetized plasmas. A cascade model is presented, based on the assumptions of local nonlinear energy transfer in wavenumber space, critical balance between…

The fluctuations of the vortex density in a turbulent quantum fluid are deduced from local second-sound attenuation measurements. These measurements are performed with a micromachined open-cavity resonator inserted across a flow of…

Simulations are performed to investigate turbulent properties of nonlinearly interacting two-dimensional (2D) magnetic electron drift vortex (MEDV) modes in a nonuniform unmagnetized plasma. The relevant nonlinear equations governing the…

Plasma Physics · Physics 2015-05-13 Dastgeer Shaikh , P. K. Shukla

Our goal in this paper is to initiate the rigorous investigation of wave turbulence and derivation of wave kinetic equations (WKE) for water waves models. This problem has received intense attention in recent years in the context of…

Analysis of PDEs · Mathematics 2025-04-22 Yu Deng , Alexandru D. Ionescu , Fabio Pusateri

We develop an analytic theory of strong anisotropy of the energy spectra in the thermally-driven turbulent counterflow of superfluid He-4. The key ingredients of the theory are the three-dimensional differential closure for the vector of…

Other Condensed Matter · Physics 2022-02-23 Victor S. L'vov , Yuri V. Lvov , Sergey Nazarenko , Anna Pomyalov

A direct numerical simulation of the interaction of plane capillary waves on the surface of a liquid dielectric in an external tangential electric field taking into account viscous forces has been performed. It has been shown that the…

Fluid Dynamics · Physics 2019-04-18 Evgeny A. Kochurin

We present two phenomenological models for 2D turbulence in which the energy spectrum obeys a nonlinear fourth-order and a second-order differential equations respectively. Both equations respect the scaling properties of the original…

Chaotic Dynamics · Physics 2007-05-23 Victor S. L'vov , Sergey Nazarenko

We study the temporal fluctuations of the flux of surface potential energy in Surface Quasi-Geostrophic (SQG) turbulence. By means of high-resolution, direct numerical simulations of the SQG model in the regime of forced and dissipated…

Fluid Dynamics · Physics 2024-06-12 V. J. Valadão , T. Ceccotti , G. Boffetta , S. Musacchio