EXPLOSIVE INSTABILITY DUE TO 3-WAVE OR 4-WAVE MIXING, WITH OR WITHOUT DISSIPATION

DOI10.1142/S0219530508001183zbMath1154.74018MaRDI QIDQ5503493

Harvey Segur

Publication date: 15 January 2009

Published in: Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

finite-time blow up

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Nonlinear waves in solid mechanics (74J30)

Related Items (1)

The NLS approximation makes wrong predictions for the water wave problem in case of small surface tension and spatially periodic boundary conditions

Cites Work

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• Applications of the inverse scattering transform. II: the three-wave resonant interaction
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Wave Interactions and Fluid Flows
• Evolution in space and time of resonant wave triads - II. A class of exact solutions
• The role of negative energy waves in some instabilities of parallel flows
• Effects of weak wind and damping on Wilton's ripples
• Stabilizing the Benjamin–Feir instability

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