Compressible, inviscid Rayleigh-Taylor instability

Y Guo, I Tice - Indiana University Mathematics Journal, 2011 - JSTOR
We consider the Rayleigh-Taylor problem for two compressible, immiscible, inviscid,
barotropic fluids evolving with a free interface in the presence of a uniform gravitational field …

Rayleigh-Taylor instability for compressible rotating flows

D Ran, F Jiang, YIN Junping - Acta Mathematica Scientia, 2015 - Elsevier
In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible,
immiscible, inviscid flows rotating with a constant angular velocity, and evolving with a free …

On the Rayleigh–Taylor instability for incompressible, inviscid magnetohydrodynamic flows

R Duan, F Jiang, S Jiang - SIAM Journal on Applied Mathematics, 2011 - SIAM
We study the Rayleigh–Taylor instability for two incompressible, immiscible, inviscid
magnetohydrodynamic (MHD) fluids with zero resistivity, evolving with a free interface in the …

On the Rayleigh-Taylor instability for two uniform viscous incompressible flows

F Jiang, S Jiang, W Wang - Chinese Annals of Mathematics, Series B, 2014 - Springer
The authors study the Rayleigh-Taylor instability for two incompressible immiscible fluids
with or without surface tension, evolving with a free interface in the presence of a uniform …

Linear Rayleigh–Taylor instability for viscous, compressible fluids

Y Guo, I Tice - SIAM Journal on Mathematical Analysis, 2010 - SIAM
We study the equations obtained from linearizing the compressible Navier–Stokes
equations around a steady-state profile with a heavier fluid lying above a lighter fluid along a …

Finite time analyticity for the two-and three-dimensional Rayleigh-Taylor instability

C Sulem, PL Sulem - Transactions of the American Mathematical Society, 1985 - ams.org
The Rayleigh-Taylor instability refers to the dynamics of the interface between two ideal
irrotational fluids of different densities superposed one over the other and in relative motion …

On the Rayleigh–Taylor instability for the incompressible viscous magnetohydrodynamic equations

F Jiang, S Jiang, Y Wang - Communications in Partial Differential …, 2014 - Taylor & Francis
We study the Rayleigh-Taylor instability problem for two incompressible, immiscible, viscous
magnetohydrodynamic (MHD) flows with zero resistivity and surface tension (or without …

The compressible viscous surface-internal wave problem: nonlinear Rayleigh–Taylor instability

J Jang, I Tice, Y Wang - Archive for Rational Mechanics and Analysis, 2016 - Springer
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 t he upper …

Compressibility effects on the Rayleigh-Taylor instability between miscible fluids

MA Lafay, B Le Creurer, S Gauthier - Europhysics Letters, 2007 - iopscience.iop.org
Abstract The linear Rayleigh-Taylor problem for two miscible compressible viscous fluids is
solved for the first time. A wide range of parameter values is investigated. Two main …

The viscous surface-internal wave problem: nonlinear Rayleigh–Taylor instability

Y Wang, I Tice - Communications in Partial Differential Equations, 2012 - Taylor & Francis
We consider the free boundary problem for two layers of immiscible, viscous, incompressible
fluid in a uniform gravitational field, lying above a rigid bottom in a three-dimensional …