On long waves in shallow water with shear flow (Q1072830)
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scientific article; zbMATH DE number 3943307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On long waves in shallow water with shear flow |
scientific article; zbMATH DE number 3943307 |
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On long waves in shallow water with shear flow (English)
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1986
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Various evolution equations for long interfacial waves with shear flow are derived with the assumptions that: (1) the wavelength of the interfacial waves is much larger than the total depth of the fluids, and (2) that the spanwise dependence is much weaker than the streamwise dependence. A particular case of interest occurs when the interfacial waves are at or near direct resonance. In this case the Boussinesq equation replaces the Korteweg-de Vries equation. Various special solutions in two dimensions are discussed.
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two-dimensional solution
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shallow water
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long interfacial waves with shear flow
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Boussinesq equation
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