In the case of the Rayleigh‐Taylor instability, let the z axis be taken as vertical. We terminate
the system at z=±L, say, where L is large compared with the scale height of the density …

It was observed in the first part of this work [CX Yu et al., Phys. Rev. E 97, 013102 (2018)]
that a Rayleigh-Taylor flow with a smoothly varying density at the interface permits a …

Abstract We consider the Rayleigh-Taylor instability in exponential density profiles and
derive two approximate expressions for the growth rate that are explicit and involve only the …

The role of compressibility in modifying the growth rate of Rayleigh–Taylor instability is
discussed. Compressibility can either enhance or decrease the growth rate. If the sound …

The linearized Navier–Stokes equations for a system of superposed immiscible
compressible ideal fluids are analyzed. The results of the analysis reconcile the stabilizing …

We present an approximate method, based on a moment equation, to derive explicit analytic
formulas for the growth rate of Rayleigh-Taylor instabilities in fluids with density gradients …

The character of the growth rates of the normal modes for Rayleigh–Taylor instability of
superposed incompressible, viscous fluids is analyzed in terms of appropriately scaled …

A commonly used approximation in the study of the effect of phase change on Rayleigh-
Taylor instability is recalled and reexamined. This approximation incorporates the use of a …

We present an approximate method to derive an analytic formula for the Nonlinear
Saturation Amplitude (NSA, η s), in the two-dimensional Rayleigh-Taylor Instability (RTI) for …

Eigenfrequencies are calculated for infinitesimal perturbations of the system consisting of
two semi‐infinite regions, each filled with a constant‐temperature ideal polytrope stratified …