Theoretical aspects of gravity–capillary waves in non-rectangular channels

DOI10.1017/S0022112095002552zbMath0860.76011MaRDI QIDQ4872968

Mark D. Groves

Publication date: 5 May 1997

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

Fourier transformexistenceHamiltonian structurelinearized problemdispersion relationtravelling wave solutionsHamiltonian perturbation theorylong wave approximationsnormal mode solutionslinear bifurcation theory

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Capillarity (surface tension) for incompressible inviscid fluids (76B45)

Related Items (4)

An isoperimetric sloshing problem in a shallow container with surface tension ⋮ Hamiltonian model for water waves in a triangular domain ⋮ The flow field of two stratified liquids in the presence of interfacial waves ⋮ Water wave problem with inclined walls

Cites Work

• Hamiltonian long-wave approximations to the water-wave problem
• Symmetry and the bifurcation of capillary-gravity waves
• Nonlinear capillary waves under gravity with edge constraints in a channel
• Hamiltonian formulations for surface waves

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