Basic singularities in the theory of internal waves with surface tension

Abstract

The study of linearized interface wave problems for two superposed fluids often involves the consideration of different types of singularities in one of the two fluids. In this paper the line and point singularities are investigated for the case when each fluid is of finite constant depth. The effect of surface tension at the surface of separation is included.

Keywords

• internal waves
• surface tension
• basic singularities.