Instability of capillary-gravity waves in water of arbitrary uniform depth (Q1093456)
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scientific article; zbMATH DE number 4022885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Instability of capillary-gravity waves in water of arbitrary uniform depth |
scientific article; zbMATH DE number 4022885 |
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Instability of capillary-gravity waves in water of arbitrary uniform depth (English)
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1987
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The Benjamin-Feir instability [\textit{T. B. Benjamin} and \textit{J. Feir}, J. Fluid Mech. 27, 417-430 (1967; Zbl 0144.471)] of periodic capillary- gravity waves on a liquid layer of arbitrary uniform depth is investigated. When surface tension is present, there is always instability for some wavenumber and liquid depth and bounds on the sideband frequencies for unbounded amplification are derived. The results are compared with the slow modulation theory using an averaged Lagrangian.
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algebraic manipulation system MACSYMA
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Benjamin-Feir instability
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periodic capillary-gravity waves
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surface tension
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sideband frequencies
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