We consider viscous fluids in spherical geometry, a lighter fluid supporting a heavier one.
Chandrasekhar [QJ Mech. Appl. Math. 8, 1 (1955)] analyzed this unstable configuration …

Through the computation of the most-unstable modes, we perform a systematic analysis of
the linear Rayleigh–Taylor instability at a spherical interface separating two different …

Abstract We consider the Rayleigh-Taylor instability in two finite-thickness fluids including
the effects of viscosity and surface tension. The eight equations expressing boundary …

Abstract Effects of compressibility on Rayleigh–Taylor instability of superposed fluids are
considered. The density is allowed to vary with pressure under the barotropy assumption …

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 …

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 …

A heavy uniform fluid is superposed on a lighter one. The two uniform fluids are separated
by a layer of transition of finite thickness in which the density increases exponentially in the …

The approximate but analytical solution of the viscous Rayleigh-Taylor instability (RTI) has
been widely used recently in theoretical and numerical investigations due to its clarity. In this …

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 examine the multiple harmonic model for the single-mode Rayleigh–Taylor instability,
and present a new class of the asymptotic solution for the bubble evolution. Previously …