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We investigate the nonlinear instability of a smooth Rayleigh-Taylor steady-state solution (including the case of heavier density with increasing height) to the three-dimensional incompressible nonhomogeneous magnetohydrodynamic (MHD)…

Analysis of PDEs · Mathematics 2014-12-02 Fei Jiang , Song Jiang , Weiwei Wang

The temporal evolution of a water-sand interface driven by gravity is experimentally investigated. By means of a Fourier analysis of the evolving interface the growth rates are determined for the different modes appearing in the developing…

patt-sol · Physics 2009-10-30 A. Lange , M. Schröter , M. A. Scherer , A. Engel , I. Rehberg

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

Studies of sessile droplets and fluid bridges of a ferroelectric nematic liquid crystal in externally applied electric fields are presented. It is found that above a threshold, the interface of the fluid with air undergoes a fingering…

Soft Condensed Matter · Physics 2023-05-02 Marcell Tibor Máthé , Bendegúz Farkas , László Péter , Ágnes Buka , Antal Jákli , Péter Salamon

This paper concerns the dynamics of two layers of compressible, barotropic, viscous fluid lying atop one another. The lower fluid is bounded below by a rigid bottom, and the upper fluid is bounded above by a trivial fluid of constant…

Analysis of PDEs · Mathematics 2016-04-20 Juhi Jang , Ian Tice , Yanjin Wang

The dynamics of an interface in a two-component Bose-Einstein condensate driven by a spatially uniform time-dependent force is studied. Starting from the Gross-Pitaevskii Lagrangian, the dispersion relation for linear waves and…

Quantum Gases · Physics 2015-05-27 D. Kobyakov , V. Bychkov , E. Lundh , A. Bezett , V. Akkerman , M. Marklund

Thin liquid films with floating active protein machines are considered. Cyclic mechanical motions within the machines, representing microscopic swimmers, lead to molecular propulsion forces applied to the air-liquid interface. We show that,…

Pattern Formation and Solitons · Physics 2015-05-13 Sergio Alonso , Alexander S. Mikhailov

We extend the ideas of Kolmogorov theory on symmetries of turbulent dynamics to analyze invariants, scaling and spectra of unsteady turbulent mixing induced by the Rayleigh-Taylor instability. Time- and scale-invariance of the rate of…

Plasma Physics · Physics 2010-04-28 Snezhana I. Abarzhi

Linear stability of stratified two-phase flows in horizontal channels to arbitrary wavenumber disturbances is studied. The problem is reduced to Orr-Sommerfeld equations for the stream function disturbances, defined in each sublayer and…

Fluid Dynamics · Physics 2016-05-04 Ilya Barmak , Alexander Gelfgat , Helena Vitoshkin , Amos Ullmann , Neima Brauner

We study Rayleigh-Taylor instability (RTI) at the coronal-prominence boundary by means of 2.5D numerical simulations in a single-fluid MHD approach including a generalized Ohm's law. The initial configuration includes a homogeneous magnetic…

Solar and Stellar Astrophysics · Physics 2015-06-17 E. Khomenko , A. Diaz , A. de Vicente , M. Collados , M. Luna

In order to understand star formation it is important to understand the dynamics of atomic and molecular clouds in the interstellar medium (ISM). Nonlinear hydrodynamic flows are a key component to the ISM. One route by which nonlinear…

Astrophysics · Physics 2010-05-19 R. M. Hueckstaedt , J. H. Hunter , R. V. E. Lovelace

We present time-resolved observations of Rayleigh--Taylor-instability (RTI) evolution at the interface between an unmagnetized plasma jet colliding with a stagnated, magnetized plasma. The observed instability growth time ($\sim 10$~$\mu$s)…

Plasma Physics · Physics 2015-11-18 Colin S. Adams , Auna L. Moser , Scott C. Hsu

We study the interface dynamics in immiscible binary superfluids using its holographic description, which naturally consists of an inviscid superfluid component and a viscous normal fluid component. We give the first theoretical realization…

Quantum Gases · Physics 2024-11-01 Yuping An , Li Li , Huabi Zeng

The stability of a flow of an electrically conducting, incompressible fluid in a channel with an imposed uniform wall-normal magnetic field and electrically insulating walls is studied using linear stability analysis and direct numerical…

Fluid Dynamics · Physics 2025-12-23 Roman Okatev , Oleg Zikanov , Dmitry Krasnov , Peter Frick

A new category of front propagation problems is proposed in which a spreading instability evolves through a singular configuration before saturating. We examine the nature of this front for the viscous Rayleigh instability of a column of…

Condensed Matter · Physics 2009-10-28 Thomas R. Powers , Raymond E. Goldstein

The Rayleigh-Taylor Instability (RTI) under multi-mode perturbation in compressible flow is probed via the Discrete Boltzmann Modeling (DBM) with tracers. The distribution of tracers provides clear boundaries between light and heavy fluids…

Fluid Dynamics · Physics 2022-10-28 Hanwei Li , Aiguo Xu , Ge Zhang , Yiming Shan

Rayleigh-Taylor instability (RTI) has critical importance for a broad range of processes in nature and technology, from supernovae to plasma fusion. In most instances RTI is driven by variable acceleration whereas the bulk of existing…

Plasma Physics · Physics 2019-01-16 Aklant K. Bhowmick , Desmond L. Hill , Snezhana I. Abarzhi

The shock wave instability induced when interacting with a small waviness on an interface was investigated analytically and numerically. The perturbation to the shock was phenomenologically treated assuming this as the consequence of the…

Fluid Dynamics · Physics 2018-08-29 A. Markhotok

The dynamics of Rayleigh-Taylor turbulence convection in presence of an alternating, time periodic acceleration is studied by means of extensive direct numerical simulations of the Boussinesq equations. Within this framework, we discover a…

Fluid Dynamics · Physics 2019-03-27 G. Boffetta , M. Magnani , S. Musacchio

The early-time interface instabilities in high intensity (high Weber number and high Reynolds number) aero-breakup of a liquid drop are investigated by numerical simulations. A combined analysis based on simulation results and…

Fluid Dynamics · Physics 2014-07-07 X. Y. Hu , N. A. Adams