Spatial hamiltonian structure, energy flux and the water-wave problem

DOI10.1098/rspa.1992.0151zbMath0777.76012OpenAlexW1983227528MaRDI QIDQ4033216

Thomas J. Bridges

Publication date: 16 May 1993

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1992.0151

zbMATH Keywords

travelling wavesevolution equationsingularitysurface tensiondispersion relationdual variational principlessymplectic operatorcapilary-gravity wavesrelative equilibrium states

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (6)

Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference ⋮ A proof of the Benjamin-Feir instability ⋮ On the formulation of mass, momentum and energy conservation in the KdV equation ⋮ Existence theory of capillary-gravity waves on water of finite depth ⋮ Multi-symplectic, Lagrangian, one-dimensional gas dynamics ⋮ Algebraic methods for determining Hamiltonian Hopf bifurcations in three-degree-of-freedom systems

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