Normal forms for wave motion in fluid interfaces.

DOI10.1016/S0165-2125(99)00022-0zbMath1074.76553OpenAlexW2117178111MaRDI QIDQ5960598

Walter Craig, Mark D. Groves

Publication date: 8 April 2002

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-2125(99)00022-0

zbMATH Keywords

instabilityBirkhoff normal formLyapunov exponent

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Interfacial stability and instability in hydrodynamic stability (76E17) Internal waves for incompressible inviscid fluids (76B55) Stratification effects in inviscid fluids (76B70)

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Cites Work

• Unnamed Item
• Numerical simulation of gravity waves
• Hamiltonian long-wave approximations to the water-wave problem
• Is free-surface hydrodynamics an integrable system?
• Weakly nonlinear waves in a stratified fluid: a variational formulation
• Geometric Aspects of Spatially Periodic Interfacial Waves
• Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure
• On standing internal gravity waves of finite amplitude
• Standing surface waves of finite amplitude
• Kelvin–Helmholtz instability of finite amplitude
• An integrable normal form for water waves in infinite depth