Exact solution for capillary waves on the surface of a liquid of finite depth

DOI10.3103/S1066369X23090050OpenAlexW4389782849MaRDI QIDQ6117477

M. M. Alimov

Publication date: 19 February 2024

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23090050

zbMATH Keywords

complex variable methodJacobi elliptic functionpotential flowSchwartz function method

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Complex variables methods applied to problems in fluid mechanics (76M40)

Cites Work

• Unnamed Item
• Exact solution of the Muskat-Leibenzon problem for a growing elliptic bubble
• Exact solutions for steady capillary waves on a fluid annulus
• An exact solution for progressive capillary waves of arbitrary amplitude
• Complex variable methods in Hele–Shaw moving boundary problems
• Exact large amplitude capillary waves on sheets of fluid

This page was built for publication: Exact solution for capillary waves on the surface of a liquid of finite depth