On the Rayleigh-Taylor instability for the two coupled fluids

On the Rayleigh-Taylor instability for the two coupled fluids

Blog Article

In this LC paper, we considered the Rayleigh-Taylor (RT) instability for two incompressible, immisicible, invisid coupled fluids, which were Euler and magnetohydrodynamic with zero resistivity.Under the action of the uniform gravitational field, the two fluids interacted at a free interface.We utilized the flow map to denote the Lorentz force under 6 Pce Home Office Package the Lagrangian coordinates.

We first showed the ill-posedness to the linear problem around the RT steady state solution.By virtue of such an ill-posed result, we showed that the nonlinear system is also ill-posed.