Nonlinear Hamiltonian waves with constant frequency and surface waves on vorticity discontinuities

DOI10.1002/cpa.20304zbMath1188.35119OpenAlexW2168054043MaRDI QIDQ3406732

Joseph A. Biello, John K. Hunter

Publication date: 19 February 2010

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.20304

zbMATH Keywords

surface wavessmall amplitude solutionstwo-dimensional inviscid incompressible fluidasymptotic equationnonlinear Hamiltonian wavesvorticity discontinuity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Second-order nonlinear hyperbolic equations (35L70)

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Cites Work

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• Wave Breaking in a Class of Nonlocal Dispersive Wave Equations
• The repeated filamentation of two-dimensional vorticity interfaces
• Nonlinear surface waves on a tangential discontinuity in magnetohydrodynamics
• A simple one‐dimensional model for the three‐dimensional vorticity equation
• Hamiltonian Equations for Scale‐Invariant Waves

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