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The magnetic Rayleigh-Taylor instability has been shown to play a key role in many astrophysical systems. The equation for the growth rate of this instability in the incompressible limit, and the most-unstable mode that can be derived from…

Solar and Stellar Astrophysics · Physics 2016-10-27 Andrew Hillier

Many solar filaments and prominences show short-lived horizontal threads lying parallel to the photosphere. In this work the possible link between Rayleigh-Taylor instabilities and thread lifetimes is investigated. This is done by…

Solar and Stellar Astrophysics · Physics 2015-06-04 J. Terradas , R. Oliver , J. L. Ballester

The effect of magnetic field on the nonlinear growth rate of Rayleigh-Taylor instability induced two fluid interfacial structures has been investigated. The magnetic field is assumed to be parallel to the plane of the two fluid interface…

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

The non-linear regime of the magnetic Rayleigh-Taylor instability (MRTI) has been studied in the context of several laboratory and astrophysical systems. Yet, several fundamental aspects remain unclear. One of them is the self-similar…

Fluid Dynamics · Physics 2025-09-19 Manohar Teja Kalluri , Andrew Hillier

This paper is the first in a series investigating magnetohydrodynamic instabilities that may contribute to angular-momentum transport and magnetic-field evolution in stellar radiative zones. We focus on shear-driven instabilities,…

Solar and Stellar Astrophysics · Physics 2026-02-10 V. Durepaire , L. Petitdemange , K. Belkacem , A. Guseva , L. Manchon , R. Hollerbach , F. Daniel

The effects of velocity shear on the unstable modes driven by the effective gravity (Rayleigh-Taylor and interchange) and resistive drift wave instabilities for inhomogeneous equilibrium fluid/plasma density are analyzed for the localized…

Plasma Physics · Physics 2020-02-19 Yanzeng Zhang , S. I. Krasheninnikov , A. I. Smolyakov

The effect of magnetic tension and diffusion on the perturbation growth of a liquid-metal liner subjected to the magneto-Rayleigh-Taylor (MRT) instability is investigated. An initially magnetic-field-free liquid-metal slab of finite…

Fluid Dynamics · Physics 2024-06-28 Paria Makaremi-Esfarjani , Andrew J. Higgins

Aims: To quantify the transient growth of nonaxisymmetric perturbations in unstratified magnetized and stratified non-magnetized rotating linear shear flows in the shearing sheet approximation of accretion disc flows. Method: The Rayleigh…

Astrophysics · Physics 2007-05-23 Axel Brandenburg , Boris Dintrans

This work examines the effect of the embedded magnetic field strength on the non-linear development of the magnetic Rayleigh-Taylor Instability (RTI) (with a field-aligned interface) in an ideal gas close to the incompressible limit in…

Solar and Stellar Astrophysics · Physics 2017-09-20 Jack Carlyle , Andrew Hillier

We study the magnetorotational instability (MRI) using nonmodal stability techniques. Despite the spectral instability of many forms of the MRI, this proves to be a natural method of analysis that is well-suited to deal with the…

High Energy Astrophysical Phenomena · Physics 2014-12-01 Jonathan Squire , Amitava Bhattacharjee

The growth rate of the non-linear ablative Rayleigh-Taylor (RT) instability is enhanced by magnetic fields self-generated by the Biermann battery mechanism; a scaling for this effect with perturbation height and wavelength is proposed and…

Plasma Physics · Physics 2023-02-08 C. A. Walsh , D. S. Clark

We investigate the stabilizing effects of the magnetic fields in the linearized magnetic Rayleigh-Taylor (RT) problem of a nonhomogeneous incompressible viscous magnetohydrodynamic fluid of zero resistivity in the presence of a uniform…

Mathematical Physics · Physics 2015-10-28 Fei Jiang , Song Jiang

We present a linear analysis of the radiative Rayleigh-Taylor (RT) instability in the presence of magnetic field for both optically thin and thick regimes. When the flow is optically thin, magnetic field not only stabilizes perturbations…

Astrophysics of Galaxies · Physics 2018-03-28 Asiyeh Yaghoobi , Mohsen Shadmehri

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

We establish criteria of stability and instability for the stratified compressible magnetic Rayleigh--Taylor (RT) problem. More precisely, if under the stability condition $\Xi <1$, we show the existence of unique solution with algebraic…

Analysis of PDEs · Mathematics 2017-02-27 Fei Jiang , Song Jiang

Within the framework of shallow-water magnetohydrodynamics, we investigate the linear instability of horizontal shear flows, influenced by an aligned magnetic field and stratification. Various classical instability results, such as…

Fluid Dynamics · Physics 2016-01-15 Julian Mak , Stephen D. Griffiths , D. W. Hughes

We use the geometric optics approximation to derive the stability criteria for the Rayleigh shearing instability and the magnetorotational instability. We examine the cases where each criterion is relevant by looking into the magnitude of…

High Energy Astrophysical Phenomena · Physics 2023-08-08 Konstantinos Palapanidis , Despoina Pazouli

We analyze the linear growth of the magnetorotational instability (MRI) in the short time limit using nonmodal methods. Our findings are quite different to standard results, illustrating that shearing wave energy can grow at the maximum MRI…

Plasma Physics · Physics 2014-12-01 Jonathan Squire , Amitava Bhattacharjee

We study a resistive tearing instability developing in a system evolving through the combined effect of Hall drift in the Electron-MHD limit and Ohmic dissipation. We explore first the exponential growth of the instability in the linear…

High Energy Astrophysical Phenomena · Physics 2016-09-19 Konstantinos N. Gourgouliatos , Rainer Hollerbach

The magneto-Rayleigh-Taylor instability (mRTI) is a key process in inertial confinement fusion and is thought to be widespread in the interstellar medium, where it can concentrate plasma into discrete structures. We present resistive MHD…

Fluid Dynamics · Physics 2025-12-25 Xin Bian , Riccardo Betti , Dongxiao Zhao , Hussein Aluie
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