Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference

DOI10.1007/BF02430633zbMath0803.76011MaRDI QIDQ1330862

Thomas J. Bridges

Publication date: 10 August 1994

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

zbMATH Keywords

relative equilibriasignaturesurface tensioncapillary-gravity wavesbifurcation theorymoving frame of referenceeigenvalue collisionssymplectic operatortime-independent motions

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 (7)

Three-dimensional gravity-capillary waves on water -- small surface tension case ⋮ A proof of the Benjamin-Feir instability ⋮ Existence theory of capillary-gravity waves on water of finite depth ⋮ Variational generalization of the Green-Naghdi and Whitham equations for fluid sloshing in three-dimensional rotating and translating coordinates ⋮ The Existence of Three-Dimensional Multi-Hump Gravity-Capillary Surface Waves on Water of Finite Depth ⋮ Three-dimensional solitary waves in the presence of additional surface effects ⋮ Steady water waves with vorticity: spatial Hamiltonian structure

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