On integrals and invariants for inviscid, irrotational flow under gravity

DOI10.1017/S0022112083003274zbMath0524.76017MaRDI QIDQ3036932

Michael S. Longuet-Higgins

Publication date: 1983

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

surface tensionrotational flowtwo-dimensional irrotational floweight basic conservation laws

Mathematics Subject Classification ID

Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items

Variational formulations of steady rotational equatorial waves, On the integral quantities of a low amplitude solitary wave shoaling on a mild slope, A Morawetz inequality for water waves, An explicit Hamiltonian formulation of surface waves in water of finite depth, A mathematical coastal ocean circulation system with breaking waves and numerical grid generation, Periodic capillary-gravity water waves of small amplitude, Variational formulation of rotational steady water waves in two-layer flows, Some integral theorems relating to the oscillations of bubbles, Conserved quantities for axisymmetric cavities near boundaries, Morawetz Inequalities for Water Waves, Momentum and energy of a solitary wave interacting with a submerged semi-circular cylinder, Canonical equations for almost periodic, weakly nonlinear gravity waves