Rayleigh-Taylor instability of a partially ionized rotating plasma in the presence of a variable horizontal magnetic field in porous medium

The Rayleigh-Taylor instability of a partially ionized plasma in a porous medium is considered in the presence of a variable horizontal magnetic field and uniform vertical rotation, The case of exponentially varying density, viscosity, magnetic field, and neutral particle number density is considered, In this case, the magnetic field succeeds in stabilizing waves in a certain wavenumber range which were unstable in the absence of magnetic field, whereas the system is found to be stable for potentially stable configuration/stable stratifications. The medium permeability and rotation do not have any qualitative effect on the nature of the stability or instability.