Nonlinear dynamics of interfacial waves (Q1064203)
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scientific article; zbMATH DE number 3920045
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear dynamics of interfacial waves |
scientific article; zbMATH DE number 3920045 |
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Nonlinear dynamics of interfacial waves (English)
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1984
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Results on the stability of a steady two-dimensional interfacial gravity wave of finite amplitude to infinitesimal three-dimensional disturbances in the presence of a current jump are presented. It is found that the waves are unstable, and the instability is predominantly two-dimensional for small amplitudes, but becomes predominantly three-dimensional for larger amplitudes. In addition, for sufficiently large amplitude, a new long wave instability develops due to subharmonic distortions of the eigenfunctions of the Kelvin-Helmholtz short wave instability.
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two-dimensional instability for small amplitudes
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three-dimensional instability for large amplitudes
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irrotational flow
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steady two- dimensional interfacial gravity wave of finite amplitude
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infinitesimal three-dimensional disturbances
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current jump
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subharmonic distortions of the eigenfunctions
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Kelvin-Helmholtz short wave instability
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0.9306574
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0.92650926
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0.9237845
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0.92058426
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0.9175647
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