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We investigate the nonlinear interaction between two laser beams in a plasma in the weakly nonlinear and relativistic regime. The evolution of the laser beams is governed by two nonlinear Schroedinger equations that are coupled with the…

Plasma Physics · Physics 2007-05-23 P. K. Shukla , B. Eliasson , M. Marklund , L. Stenflo , I. Kourakis , M. Parviainen , M. E. Dieckmann

We have carried out high resolution MHD simulations of the nonlinear evolution of Kelvin-Helmholtz unstable flows in 2 1/2 dimensions. The modeled flows and fields were initially uniform except for a thin shear layer with a hyperbolic…

Astrophysics · Physics 2009-10-30 T. W. Jones , Joseph B. Gaalaas , Dongsu Ryu , Adam Frank

The Richtmyer-Meshkov (RM) instability plays an important role in various natural and engineering fields, such as inertial confinement fusion. In this work, the effect of relaxation time on the RM instability under reshock impact is…

Fluid Dynamics · Physics 2025-03-19 Lingyan Lian , Chuandong Lin , Demei Li , Huilin Lai

A case of two interpenetrating, cold and quasi-neutral ion-electron plasmas is investigated with the multi-fluid approach. We consider that one plasma flows quasi-parallel to the lines of a background magnetic field embedded in another…

High Energy Astrophysical Phenomena · Physics 2019-03-19 Vladimir Zekovic

We investigate the linear stability of a flat interface that separates a liquid layer from a fully-developed turbulent gas flow. In this context, linear-stability analysis involves the study of the dynamics of a small-amplitude wave on the…

Fluid Dynamics · Physics 2009-08-13 L. Ó Náraigh , P. Spelt , O. Matar , T. Zaki

In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible, immiscible, inviscid flows rotating with an constant angular velocity, and evolving with a free interface in the presence of a uniform gravitational…

General Mathematics · Mathematics 2012-05-01 Ran Duan , Fei Jiang , Song Jiang

Aims: In the present work we investigate the nature of the magnetic Rayleigh-Taylor instability at a density interface permeated by an oblique, homogeneous magnetic field in an incompressible limit. Methods: Using the system of linearised…

Solar and Stellar Astrophysics · Physics 2020-02-19 E. Vickers , I. Ballai , R. Erdélyi

(Shortened) Thermal instability of partially ionized plasma is investigated by linear perturbation analysis. According to the previous studies under the one fluid approach, the thermal instability is suppressed due to the magnetic pressure.…

Astrophysics · Physics 2014-11-18 Tsubasa Fukue , Hideyuki Kamaya

The wave instability acts in astrophysical plasmas to redistribute energy and momentum in the absence of frequent collisions. There are many different types of waves, and it is important to quantify the wave energy density and growth rate…

Space Physics · Physics 2023-04-05 Seong-Yeop Jeong , Clare Watt

The nonlinear evolution of a unstable electrostatic wave is considered for a multi-species Vlasov plasma. From the singularity structure of the associated amplitude expansions, the asymptotic features of the electric field and distribution…

Plasma Physics · Physics 2009-10-31 John David Crawford , Anandhan Jayaraman

Electrostatic Gravitational or Rayleigh-Taylor (RT) instability in an inhomogeneous magnetized multi-ions plasma with some fraction of quantum mechanical electrons. The effect of Bohm potential, temperature degeneracy and magnetic field are…

Plasma Physics · Physics 2018-05-08 A. Mushtaq , Sajad Ali , Zahida Ehsan

We show that in a neutral magnetized plasma there exist microscopic oscillatory modes, with wavelengths of the order of magnitude of the mean interparticle distance, which become unstable when the electron density exceeds a limit…

Plasma Physics · Physics 2010-06-24 M. Marino , M. Zuin , A. Carati , E. Martines , L. Galgani

The Rayleigh-Taylor instability (RTI) arises at the interface between two fluids of different densities, notably when a heavier fluid lies above a lighter one in an effective gravitational field. In astrophysical systems with high…

High Energy Astrophysical Phenomena · Physics 2025-06-05 Qiqi Jiang , Guang-Xing Li , Chandra B. Singh

A linear analysis based on two-fluid equations in the approximation of a cold plasma, wherein the plasma temperature is assumed to be zero, demonstrates that a two-stream instability occurs in all cases. However, if this were true, the…

Plasma Physics · Physics 2023-06-28 Shinji Koide , Masaaki Takahashi , Rohta Takahashi

Direct current in confined two-dimensional (2d) electron systems can become unstable with respect to the excitation of plasmons. Numerous experiments and simulations hint that structural asymmetry somehow promotes plasmon generation, but a…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Aleksandr S. Petrov , Dmitry Svintsov

We study the Rayleigh-Taylor instability (RTI) at a prominence-corona transition region in a non-linear regime. Our aim is to understand how the presence of neutral atoms in the prominence plasma influences the instability growth rate, and…

Solar and Stellar Astrophysics · Physics 2014-05-08 E. Khomenko , A. Diaz , A. de Vicente , M. Collados , M. Luna

The relativistic Vlasov-Maxwell system describes the evolution of a collisionless plasma. The problem of linear instability of this system is considered in two physical settings: the so-called "one and one-half" dimensional case, and the…

Analysis of PDEs · Mathematics 2015-05-22 Jonathan Ben-Artzi , Thomas Holding

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

We consider the free boundary problem for relativistic plasma--vacuum interfaces in two and three spatial dimensions. The plasma flow is governed by the equations of ideal relativistic magnetohydrodynamics, while the vacuum magnetic and…

Analysis of PDEs · Mathematics 2026-04-30 Paolo Secchi , Yuri Trakhinin , Tao Wang

Richtmyer-Meshkov instability (RMI) plays important role in nature and technology, from supernovae and fusion to scramjets and nano-fabrication. Canonical Richtmyer-Meshkov instability is induced by a steady shock and impulsive…

Fluid Dynamics · Physics 2020-05-22 Aklant K. Bhowmick , Desmond L. Hill , Miccal Matthews , Snezhana I. Abarzhi