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Observations of protostellar disks indicate the presence of the magnetic field of thermal (or superthermal) strength. In such a strong magnetic field, many MHD instabilities responsible for turbulent transport of the angular momentum are…

Astrophysics · Physics 2009-11-13 Alfio Bonanno , Vadim Urpin

The evolution of the r-mode instability is likely to be accompanied by secular kinematic effects which will produce differential rotation with large scale drifts of fluid elements, mostly in the azimuthal direction. As first discussed by…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Luciano Rezzolla , Frederick L. Lamb , Dragoljub Markovic , Stuart L. Shapiro

The linear and nonlinear evolution of magnetic reconnection in collisionless high-temperature plasmas with a strong guide field is analyzed on the basis of a two-dimensional gyrofluid model. The linear growth rate of the reconnecting…

Plasma Physics · Physics 2015-02-20 Luca Comisso , Daniela Grasso , François L. Waelbroeck , Dario Borgogno

Fluid instabilities like Rayleigh-Taylor,Richtmyer-Meshkov and Kelvin-Helmholtz instability can occur in a wide range of physical phenomenon from astrophysical context to Inertial Confinement Fusion(ICF).Using Layzer's potential flow model,…

Plasma Physics · Physics 2015-05-27 Manoranjan Khan , Labakanta Mandal , Rahul Banerjee , Sourav Roy , M. R. Gupta

We present the linear theory of two-dimensional incompressible magneto-Rayleigh-Taylor instability in a system composed of a linear elastic (Hookean) layer above a lighter semi-infinite ideal fluid with magnetic fields present, above and…

Fluid Dynamics · Physics 2019-05-01 S. A. Piriz , A. R. Piriz , N. A. Tahir

Metals deformed at high strain rates can exhibit failure through formation of shear bands, a phenomenon often attributed to Hadamard instability and localization of the strain into an emerging coherent structure. We verify formation of…

Analysis of PDEs · Mathematics 2016-11-03 Theodoros Katsaounis , Min-Gi Lee , Athanasios Tzavaras

The tearing mode instability is a key process for magnetic energy conversion in magnetohydrodynamics, once anti-parallel components are allowed to reconnect, leading to the formation of magnetic islands. It has been employed to explain…

Solar and Stellar Astrophysics · Physics 2024-07-16 Grzegorz Kowal , Diego A. Falceta-Gonçalves

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 linear stability of Alfv\'en eigenmodes in the presence of fusion-born alpha particles is thoroughly assessed for two variants of an ITER baseline scenario, which differ significantly in their core and pedestal temperatures. A…

The magnetic-Rayleigh--Taylor (MRT) instability is a ubiquitous phenomenon that occurs in magnetically-driven Z-pinch implosions. It is important to understand this instability since it can decrease the performance of such implosions. In…

Plasma Physics · Physics 2020-03-18 D. E. Ruiz

Rayleigh-Taylor (RT) instabilities are prevalent in many physical regimes ranging from astrophysical to laboratory plasmas and have primarily been studied using fluid models, the majority of which have been ideal fluid models. This work is…

Plasma Physics · Physics 2022-07-13 John Rodman , Petr Cagas , Ammar Hakim , Bhuvana Srinivasan

Magnetorotational instability (MRI) has been suggested to lead a rapid growth of the magnetic field in core collapse supernovae and produce departures from spherical syymmetry that can be important in determining the explosion mechanism. We…

Solar and Stellar Astrophysics · Physics 2015-05-14 V. Urpin

The magneto-Rayleigh-Taylor (MRT) instability has been investigated in great detail in previous work using magnetohydrodynamic and kinetic models for low-beta plasmas. The work presented here extends previous studies of this instability to…

Plasma Physics · Physics 2018-10-17 Bhuvana Srinivasan , Ammar Hakim

Solar prominences represent large-scale condensations suspended against gravity within the solar atmosphere. The Rayleigh-Taylor (RT) instability is proposed to be one of the important fundamental processes leading to the generation of…

Solar and Stellar Astrophysics · Physics 2023-04-19 Madhurjya Changmai , Jack M. Jenkins , J. -B. Durrive , Rony Keppens

We establish a variational framework for nonlinear instabilities in a setting of the ideal magnetohydrodynamic (MHD) equations. We apply a variational method to various kind of smooth steady states which are shown to be nonlinearly unstable…

Analysis of PDEs · Mathematics 2007-05-23 Hyung Ju Hwang

Magneto-rotational instability (MRI) is an important instability mechanism for rotating flows with magnetic fields. In particular, when the strength of the magnetic field tends to zero, the stability criterion for rotating flows is…

Analysis of PDEs · Mathematics 2024-10-28 Zhiwu Lin , Yucong Wang , Wenpei Wu

Motivated by wind blowing over water, we use asymptotic methods to study the evolution of short wavelength interfacial waves driven by the combined action of these flows. We solve the Rayleigh equation for the stability of the shear flow,…

Fluid Dynamics · Physics 2023-12-01 A. F. Bonfils , Dhrubaditya Mitra , W. Moon , J. S. Wettlaufer

The stability of astrophysical jets in the linear regime is investigated by presenting the methodology to find the growth rates of the various instabilities. We perturb a cylindrical axisymmetric steady jet, linearize the relativistic ideal…

High Energy Astrophysical Phenomena · Physics 2023-08-31 Nektarios Vlahakis

We present analytical and numerical studies of magnetorotational instabilities occuring in magnetized accretion disks. In these studies we make use of the linearised compressible MHD equations. These calculations are performed for general…

Astrophysics · Physics 2011-07-08 J. W. S. Blokland , E. van der Swaluw , R. Keppens , J. P. Goedbloed

Magnetic reconnection plays a critical role in many astrophysical processes where high energy emission is observed, e.g. particle acceleration, relativistic accretion powered outflows, pulsar winds and probably in dissipation of Poynting…

Astrophysics · Physics 2010-11-24 G. C. Murphy , Rachid Ouyed , Guy Pelletier