Further results on the stability of symmetric and asymmetric resonant capillary-gravity waves

DOI10.1007/BF03167232zbMath0815.35093OpenAlexW2130767093MaRDI QIDQ1343500

Mark C. W. Jones

Publication date: 27 June 1995

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167232

zbMATH Keywords

stabilitycapillary-gravity waveslongitudinal transverse and oblique perturbations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Nonlinear effects in hydrodynamic stability (76E30) Initial value problems for linear higher-order PDEs (35G10) Higher-order parabolic equations (35K25)

Related Items (3)

Resonant interfacial capillary-gravity waves in the presence of damping effects ⋮ A singularity in resonant interfacial fluid flow leading to role reversal in the space time continuum of the evolution equations ⋮ Internal waves caused by the interaction of three harmonics under no restoring forces

Cites Work

• Nonlinear stability of resonant capillary-gravity waves
• Symmetry and the bifurcation of capillary-gravity waves
• The bifurcation and secondary bifurcation of capillary-gravity waves
• Three-dimensional instabilities of nonlinear gravity-capillary waves
• Steady Gravity-Capillary Waves On Deep Water-1. Weakly Nonlinear Waves
• On two-dimensional packets of capillary-gravity waves
• On three-dimensional packets of surface waves
• On coupled differential equations which model the evolution of interacting capillary-gravity wave modes and related questions of stability
• The disintegration of wave trains on deep water Part 1. Theory
• Triple- and Quintuple-Dimpled Wave Profiles in Deep Water
• Finite amplitude surface waves in a liquid layer
• On Wilton's ripples: a special case of resonant interactions
• Wave Instabilities
• Third-harmonic resonance in the interaction of capillary and gravity waves
• On the rippling of small waves: a harmonic nonlinear nearly resonant interaction
• Second-harmonic resonance in the interaction of an air stream with capillary–gravity waves

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