Singularities in a three-layered fluid medium

Abstract

velocity potentials due to the presence of different types of singularities oscillating harmonically with small amplitudes located in one of the three fluids of a three-layered fluid medium with horizontal surfaces of separation. the little middle fluid being of finite depth and the other two fluids being of infinite height and depth respectively. are obtained. These are required to study internal waves at the surfaces separating the fluids. If the density of the upper fluid will made zero, known results are recovered.