Abstract Rayleigh–Taylor (RT) and Richtmyer–Meshkov (RM) instabilities are well-known
pathways towards turbulent mixing layers, in many cases characterized by significant mass …

We investigate the stabilizing effect of the vertical equilibrium magnetic field in the Rayleigh--
Taylor (RT) problem for a nonhomogeneous incompressible viscous magnetohydrodynamic …

It is still open whether the inhibition phenomenon of the Rayleigh–Taylor (RT) instability by a
horizontal magnetic field can be mathematically verified for a non-resistive …

We study the Rayleigh-Taylor instability problem for two incompressible, immiscible, viscous
magnetohydrodynamic (MHD) flows with zero resistivity and surface tension (or without …

We establish the stability/instability criteria for the stratified compressible magnetic Rayleigh–
Taylor (RT) problem in Lagrangian coordinates. More precisely, under the stability …

We consider the free boundary problem for two layers of immiscible, viscous, incompressible
fluid in a uniform gravitational field, lying above a general rigid bottom in a three …

We investigate the stabilizing effect of capillarity in the Rayleigh-Taylor problem to the
viscous incompressible capillary fluids driven by gravity in a smooth bounded domain. It is …

We investigate the stabilizing effects of the magnetic fields in the linearized magnetic
Rayleigh–Taylor (RT) problem of a nonhomogeneous incompressible viscous …

We investigate the stabilizing effect of elasticity in the Rayleigh–Taylor (RT) problem of
stratified immiscible viscoelastic fluids, separated by a free interface and in the presence of a …

Based on a bootstrap instability method, we prove the existence of unstable strong solutions
in the sense of L 1-norm to an abstract Rayleigh–Taylor (RT) problem arising from stratified …