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In this paper, we analyze the dynamics of two layers of immiscible, inviscid, incompressible, and irrotational fluids through a full nonlinear system. Our goal is to establish a virial theorem and prove the polynomial growth of slope and…

Analysis of PDEs · Mathematics 2025-07-16 Haocheng Yang

We revisit the canonical Rayleigh-Taylor instability and investigate the case of a thin film of fluid upon the underside of an inclined plane. The presence of a natural flow along the plane competes with the conventional droplet forming…

Fluid Dynamics · Physics 2015-09-30 P. -T Brun , Adam Damiano , Pierre Rieu , Gioele Balestra , François Gallaire

We analyze the mechanism that determines the boundary of stability in Taylor-Couette flow. By simple physical argument we derive an analytic expression to approximate the stability line for all radius ratios and all speed ratios, for co-…

Condensed Matter · Physics 2009-10-28 A. Esser , S. Grossmann

We investigate the effect of surface tension on the linear Rayleigh--Taylor (RT) instability in stratified incompressible viscous fluids with or without (interface) surface tension. The existence of linear RT instability solutions with…

Mathematical Physics · Physics 2021-05-06 Changsheng Dou , Jialiang Wang , Weiwei Wang

This paper is concerned with the Rayleigh-Taylor instability for the nonhomogeneous incompressible Navier-Stokes equations with Navier-slip boundary conditions around a steady-state in an infinite slab, where the Navier-slip coefficients do…

Analysis of PDEs · Mathematics 2020-07-15 Shijin Ding , Zhijun Ji , Quanrong Li

We derive a theoretical model for the Rayleigh-Taylor (RT)-like instability for a thin foil accelerated by an intense laser, taking into account finite wavelength effects in the laser wave field. The latter leads to the diffraction of the…

Space Physics · Physics 2015-06-22 Bengt Eliasson

We perform analytic linear stability analyses of an interface separating two stratified media threaded by a radiation flux, a configuration relevant in several astrophysical contexts. We develop a general framework for analyzing such…

Solar and Stellar Astrophysics · Physics 2015-05-27 Emmanuel Jacquet , Mark Krumholz

A Rayleigh-Taylor-like instability of a dense colloidal layer under gravity in a capillary of microfluidic dimensions is considered. We access all relevant lengthscales with particle-level microscopy and computer simulations which…

The linked fluid dynamics videos depict Rayleigh-Taylor turbulence when driven by a complex acceleration profile involving two stages of acceleration interspersed with a stage of stabilizing deceleration. Rayleigh-Taylor (RT) instability…

Fluid Dynamics · Physics 2013-10-15 P. Ramaprabhu , V. Karkhanis , A. G. W. Lawrie

We investigated the Rayleigh-Plateau instability at the interface between two immiscible liquids of equal viscosity using molecular dynamics simulations. Two types of initial conditions were considered, one with an imposed single-mode…

Soft Condensed Matter · Physics 2025-12-02 Shunta Kikuchi , Hiroshi Watanabe

We develop a weakly nonlinear, multi-mode theory for the Rayleigh-Taylor instability (RTI) on a time-varying spherical interface, fully incorporating mode couplings and the Bell-Plesset (BP) effects arising from interface convergence. Our…

Plasma Physics · Physics 2026-03-10 Xilai Li , Yilin Wu , Zhengnuo Chen , Mengqi Yang , Jie Zhang

We investigate long time numerical simulations of the inviscid Rayleigh-Taylor instability at Atwood number one using a boundary integral method. We are able to attain the asymptotic behavior for the spikes predicted by Clavin &…

Fluid Dynamics · Physics 2009-11-10 Laurent Duchemin , Christophe Josserand , Paul Clavin

We study the mobility of extended objects (rods) on a spherical liquid-liquid interface to show how this quantity is modified in a striking manner by both the curvature and the topology of the interface. We present theoretical calculations…

Soft Condensed Matter · Physics 2009-11-13 Mark L. Henle , R. McGorty , A. D. Dinsmore , Alex J. Levine

Rayleigh-Taylor instabilities (RTI) play an important role in the evolution of inertial confinement fusion (ICF) processes, while analytical prediction of the RTI growth rate often fails to reach an agreement with the experimental and…

Plasma Physics · Physics 2024-08-21 Y. Guo , D. Wu , J. Zhang

We study the dynamics of the interface given by two incompressible viscous fluids in the Stokes regime filling a 2D horizontally periodic strip. The fluids are subject to the gravity force and the density difference induces the dynamics of…

Analysis of PDEs · Mathematics 2023-01-03 Francisco Gancedo , Rafael Granero-Belinchón , Elena Salguero

We study the magnetic Rayleigh-Taylor instability in three dimensions, with focus on the nonlinear structure and evolution that results from different initial field configurations. We study strong fields in the sense that the critical…

Astrophysics · Physics 2009-11-13 James M. Stone , Thomas Gardiner

The Rayleigh-Taylor Instability (RTI) in compressible flow with inter-molecular interactions is probed via the Discrete Boltzmann Method (DBM). The effects of interfacial tension, viscosity and heat conduction are investigated. It is found…

Fluid Dynamics · Physics 2022-07-19 Jie Chen , Aiguo Xu , Dawei Chen , Yudong Zhang , Zhihua Chen

We develop a general transfer-matrix formalism for determining the growth rate of the Rayleigh-Taylor instability in a fluid system with spatially varying density and viscosity. We use this formalism to analytically and numerically treat…

Fluid Dynamics · Physics 2025-02-18 Prashant Sharma

We study the Rayleigh-Taylor instability for two miscible, incompressible, inviscid fluids. Scale-invariant estimates for the size of the mixing zone and coarsening of internal structures in the fully nonlinear regime are established…

Analysis of PDEs · Mathematics 2024-12-20 Konstantin Kalinin , Govind Menon , Bian Wu

We consider the long-standing problem of Rayleigh-Taylor instability with variable acceleration, and focus on the early-time dynamics of an interface separating incompressible ideal fluids of different densities subject to an acceleration…

Plasma Physics · Physics 2019-06-25 Des L. Hill , Aklant K. Bhowmick , Snezhana I. Abarzhi