The Richtmyer-Meshkov (RM) instability is an interfacial instability betwee
n two fluids of different densities driven by shock waves and plays an impo
rtant role in the studies of inertial confinement fusion and supernova. So
far, most of the studies are for RM unstable interfaces driven by weak or i
ntermediate shocks in planar geometry. Some results are given for the weak
shock case in cylindrical geometry. For experiments conducted at Nova laser
, the unstable material interface is accelerated by very strong shocks. We
also present scaling laws for the RM unstable interface driven by strong im
ploding and exploding shocks.