Abstract
The effects of transverse magnetic field and viscosity on the Richtmyer–Meshkov instability are considered under the framework of two semi-infinite fluids with densities ρ+ and ρ−, magnetic fields B+ and B−, and viscosities μ+ and μ−, respectively. The amplitude of the perturbations is analytically obtained. It is found that the magnetic field provides oscillation and damping, and viscosity provides damping. When both are present, the perturbations of the interface undergo damped oscillation provided that the magnetic field is strong enough; otherwise the perturbations will damp from the beginning.
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