Kelvin-Helmholtz instability of superposed hydromagnetic fluids of different densities with finite-resistivity

The hydromagnetic Kelvin-Helmholtz instability of two superposed fluids of different densities is studied. One of the fluids is assumed to be static with finite-resistivity and another fluid is streaming and nonconducting. The equations of the problem are linearized and the dispersion relation using relevant boundary conditions has been derived. It is found that the ratio of densities of the fluids () modifies the condition of ideal-plasma modes. The influence of on stable and unstable regions as compared to the case when is unity has been investigated and illustrated. Further, the combined effect of small finite-resistivity and different densities of the fluids is analyzed. It has been found that merely changes the constant of proportionality of the growth rate, which is obtained for the fluids of the same densities.