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We consider instability and localized patterns arising from long wave-short wave (LWSW) resonance in the non-integrable regime numerically. We study the stability and instability of elliptic-function periodic waves with respect to…

Pattern Formation and Solitons · Physics 2024-01-23 Wen-Rong Sun , Boris A. Malomed , Jin-Hua Li

Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). A number of theoretical studies have been performed to estimate the occurrence condition of parametric rolling in both…

Applied Physics · Physics 2023-09-15 Atsuo Maki , Yuuki Maruyama , Yaliu Liu , Leo Dostal

We show that very small-amplitude oscillations of a highly symmetric, spheric or cylindrical, interface (thin membrane) between two fluids can result in inhomogeneous instability and breaking of the interface symmetry: the frequency of the…

Fluid Dynamics · Physics 2007-05-23 N. Garcia , V. V. Osipov

We explore how inhomogeneity in the background plasma number density alters the growth of electrostatic unstable wavemodes of beam plasma systems. This is particularly interesting for blazar-driven beam-plasma instabilities, which may be…

High Energy Astrophysical Phenomena · Physics 2018-06-01 Mohamad Shalaby , Avery E. Broderick , Philip Chang , Christoph Pfrommer , Astrid Lamberts , Ewald Puchwein

We report on laboratory experiments of wave-driven rotating turbulence. A set of wavemakers produces inertial-wave beams that interact nonlinearly in the central region of a water tank mounted on a rotating platform. The forcing thus…

Fluid Dynamics · Physics 2020-10-30 Maxime Brunet , Basile Gallet , Pierre-Philippe Cortet

The plasma cascade instability (PCI) is a proposed mechanism for microbunching in electron beams without dipole magnets. Existing theory is limited to wave propagation that is orthogonal to the advective compression direction. This work…

Accelerator Physics · Physics 2019-10-30 Michael Blaskiewicz

In this note, we report on recent findings concerning the spectral and nonlinear stability of periodic traveling wave solutions of hyperbolic-parabolic systems of balance laws, as applied to the St. Venant equations of shallow water flow…

Analysis of PDEs · Mathematics 2010-09-06 Blake Barker , Mathew A. Johnson , Pascal Noble , L. Miguel Rodrigues , Kevin Zumbrun

Low-mode baroclinic tides play a major role in ocean dynamics, especially for energy redistribution and deep ocean mixing. These internal waves, generated by tidal flow over submarine topography, can propagate for thousands of kilometres…

Atmospheric and Oceanic Physics · Physics 2025-12-11 Camille Moisset , Bruce Sutherland , Lois Baker

Non-linear evolution of the parametric instability of inertial waves inherent to eccentric discs is studied by way of a new local numerical model. Mode coupling of tidal deformation with the disc eccentricity is known to produce…

Earth and Planetary Astrophysics · Physics 2018-05-02 Aaron F. Wienkers , Gordon I. Ogilvie

The stability theory of the skin layer plasma of the inductive discharge is developed for the case when the electron quiver velocity in RF wave is of the order of or is larger than the electron thermal velocity. This theory is grounded on…

Plasma Physics · Physics 2020-03-13 V. V. Mikhailenko , V. S. Mikhailenko , Hae June Lee

Instabilities at interface of two stream granular flows have been reported in recent experiment [1] that breaking waves can form at the interface between two streams of identical grains flowing on an inclined plane downstream of a splitter…

Classical Physics · Physics 2007-05-23 Hua-Shu Dou , Boo Cheong Khoo , Nhan Phan-Thien

We investigate how surface waves enhance mixing across the interface between two miscible fluids with a small density contrast. Imposing a vertical, time-periodic acceleration, we excite Faraday waves both experimentally and numerically. In…

Vertically stable in density, stratified-water conditions 'SW' exist in the deep Mediterranean Sea that are characterized by temperature differences of 0.0002-0.01degrC over 125 m above a flat seafloor. These result in a mean buoyancy…

Atmospheric and Oceanic Physics · Physics 2026-01-09 Hans van Haren

Sufficient conditions are found on the ion velocity distribution $f_i$ and potential amplitude for stability of steady electron holes moving at slow speeds, coinciding with the bulk of $f_i$. Fully establishing stability requires…

Plasma Physics · Physics 2022-03-09 I H Hutchinson

The modulational instability of waves in a medium under the action of an external monochromatic force and dissipation is considered. The model which describes the nonlinear stage of the modulation instability was constructed with using…

Pattern Formation and Solitons · Physics 2012-11-29 Evgeny Belkin , Alexander Kirichok , Vladimir Kuklin

Plasma blobs are observed to be weak density enhancements as radially stretched structures emerging from the cusps of quiescent coronal streamers. In this paper, it is suggested that the formation of blobs is a consequence of an intrinsic…

Solar and Stellar Astrophysics · Physics 2011-02-11 Y. Chen , X. Li , H. Q. Song , Q. Q. Shi , S. W. Feng , L. D. Xia

Internal gravity waves are an essential feature of stratified media, such as oceans and atmospheres. To investigate their dynamics, we perform simulations of the forced-dissipated kinetic equation describing the evolution of the energy…

Fluid Dynamics · Physics 2025-06-09 Vincent Labarre , Giorgio Krstulovic , Sergey Nazarenko

The presence of a surface at the inner boundary, such as in a neutron star or a white dwarf, allows the existence of a standing shock in steady spherical accretion.The standing shock can become unstable in 2D or 3D; this is called the {\em…

High Energy Astrophysical Phenomena · Physics 2018-04-11 Prasun Dhang , Prateek Sharma , Banibrata Mukhopadhyay

Shear Alfven wave parametric decay instability (PDI) provides a potential path toward significant wave dissipation and plasma heating. However, fundamental questions regarding how PDI is excited in a realistic three-dimensional (3D) open…

Plasma Physics · Physics 2024-05-03 Feiyu Li , Xiangrong Fu , Seth Dorfman

The possibility of slow diffusion regions as the origin for extended TeV emission halos around some pulsars (such as PSR J0633+1746 and PSR B0656+14) challenges the standard scaling of the electron diffusion coefficient in the interstellar…

High Energy Astrophysical Phenomena · Physics 2024-08-14 Illya Plotnikov , Allard Jan van Marle , Claire Guépin , Alexandre Marcowith , Pierrick Martin