Fundamental singularities in the theory of water waves with an inertial surface in the presence of surface tension
type: Item
instance of: scholarly article
title: Fundamental singularities in the theory of water waves with an inertial surface in the presence of surface tension
zbMATH Open document ID: 0611.76013
author: B. N. Mandal
author: Krishna Kundu
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: Velocity potentials describing the generation of infinitesimal capillary- gravity waves due to fundamental singularities in a motionless liquid with an inertial surface composed of uniformly distributed floating particles are obtained when the effect of surface tension at the inertial surface is included. Line and point singularities of variable strengths are considered for finite constant depth of the liquid. The method used is an extension to what has been applied to obtain these potentials in the absence of the surface tension.
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 3988908
zbMATH Keywords: Velocity potentials
zbMATH Keywords: generation of infinitesimal capillary-gravity waves
zbMATH Keywords: fundamental singularities
zbMATH Keywords: motionless liquid
zbMATH Keywords: inertial surface
zbMATH Keywords: uniformly distributed floating particles
zbMATH Keywords: surface tension
zbMATH Keywords: point singularities
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3988908