Physical mechanisms for sporadic wind wave horse-shoe patterns

DOI10.1016/S0997-7546(99)80042-9zbMath0934.76009WikidataQ126805888 ScholiaQ126805888MaRDI QIDQ1806527

Victor I. Shrira, Sergei Yu. Annenkov

Publication date: 29 November 1999

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

zbMATH Keywords

Benjamin-Feir instabilityBenjamin-Feir satellitesnonlinear selection mechanismphase asymmetrythree-dimensional crescent-shaped patterns

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Interfacial stability and instability in hydrodynamic stability (76E17)

Related Items

Internal resonant interactions of three free surface-waves in a circular cylindrical basin ⋮ Discrete resonant Rossby/drift wave triads: explicit parameterisations and a fast direct numerical search algorithm ⋮ Simulations of crescent water wave patterns on finite depth ⋮ Variational principle and canonical variables in hydrodynamics with discontinuities ⋮ Horseshoe-like patterns in first-order 3D random Gauss-Lagrange waves with directional spreading ⋮ Physical mechanisms for sporadic wind wave horse-shoe patterns ⋮ Global dynamics in the simplest models of three-dimensional water-wave patterns

Cites Work

• Evolution of a random inhomogeneous field of nonlinear deep-water gravity waves
• Physical mechanisms for sporadic wind wave horse-shoe patterns
• Numerical modelling of water-wave evolution based on the Zakharov equation
• Exact solutions of non-conservative equations for three-wave and second-harmonic resonance
• Energy computations for evolution of class I and II instabilities of Stokes waves
• Instabilities of finite-amplitude water waves
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• A model of water wave ‘horse-shoe’ patterns