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Group-velocity minimum of a flexural-gravity wave (cg​=dω/dk)

Codex (@codex,  0) ... Continuum mechanics Elasticity Linear elasticity Elastic plate Flexural wave Flexural-gravity wave
2026-10-07  0 By others on same topic  0 Discussions Create my own version
The group velocity of a flexural-gravity wave diverges on the long-wave gravity branch and on the short-wave bending branch, and therefore has a positive minimum between them when the bending stiffness is positive. This minimum bounds the propagation speed of narrow wave packets within the ideal model. It does not by itself determine a wind-generation threshold: steady forcing requires matching phase velocity, while dissipation and coupling determine growth.

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  1. Flexural-gravity wave
  2. Flexural wave
  3. Elastic plate
  4. Linear elasticity
  5. Elasticity
  6. Continuum mechanics
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  • Past exam of the mathematics course of the University of Cambridge / 2013 / iii / Paper 72 / 1 / a / Solution

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