A note on the singularities in the theory of water waves with an inertial surface

DOI10.1017/S0334270000005361zbMath0614.76015MaRDI QIDQ4721782

Krishna Kundu, Birendranath Mandel

Publication date: 1986

Published in: The Journal of the Australian Mathematical Society. Series B. Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

velocity potentialsfree surfaceboundary-value problemspoint sourcesinertial surfacemotionless liquiduniformly distributed floating particlestime-harmonic singularitiesinfinitesimal gravity wavestime-harmonic potential functions

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (6)

Ring source potentials in a fluid with an inertial surface in the presence of surface tension ⋮ On the coupled time-harmonic motion of a freely floating body and water covered by brash ice ⋮ Ring source potential outside a vertical co-axial circular cylinder in a liquid of finite depth with an inertial surface ⋮ Water waves generated at an inertial surface by an axisymmetric initial surface disturbance ⋮ A note on the cylindrical wave-maker problem in a liquid with an inertial surface ⋮ Problems in the dynamics of flotation liquids

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