The structure of gravity-capillary waves of permanent profiles on deep water

DOI10.3792/pjaa.64.135zbMath0657.76023OpenAlexW2107998661MaRDI QIDQ1111409

Mayumi Shōji

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.135

zbMATH Keywords

gravity-capillary wavesdeep waterequivariant bifurcation equationsglobal structures of bifurcationlocal structures of bifurcating branchespermanent profileswaves of infinite depth

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degenerate \(O(2)\)-equivariant bifurcation equations and their applications to the Taylor problem
• Bifurcation from simple eigenvalues
• On the problem of water waves of permanent configuration
• Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves
• Steady Gravity-Capillary Waves on Deep Water-II. Numerical Results for Finite Amplitude

This page was built for publication: The structure of gravity-capillary waves of permanent profiles on deep water