A note on the unsteady motion under gravity of a corner point on a free surface: a generalization of Stokes' theory

DOI10.1098/rspa.2008.0145zbMath1186.76625OpenAlexW2125520924MaRDI QIDQ3561838

David John Needham, John Billingham

Publication date: 19 May 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2008.0145

zbMATH Keywords

Stokes waveinviscid irrotational free surface flowStokes' \(120^\circ \) corner flow

Mathematics Subject Classification ID

Free-surface potential flows for incompressible inviscid fluids (76B07)

Related Items

The initial development of a jet caused by fluid, body and free surface interaction. Part 5. Parasitic capillary waves on an initially horizontal surface

Cites Work

• A constructive existence proof for the extreme Stokes wave
• Crest instabilities of gravity waves. Part 1. The almost-highest wave
• On the crest instabilities of steep surface waves
• The singularity at the crest of a finite amplitude progressive Stokes wave
• The initial development of a jet caused by fluid, body and free surface interaction. part 3. an inclined accelerating plate