Bifurcations of solitary waves in a flowing layer of liquid (Q1820053)
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scientific article; zbMATH DE number 3995286
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcations of solitary waves in a flowing layer of liquid |
scientific article; zbMATH DE number 3995286 |
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Bifurcations of solitary waves in a flowing layer of liquid (English)
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1986
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The authors examine the existence and nonuniqueness of various wave modes in a thin flowing layer of viscous fluid with a free surface. Numerical solutions are obtained for solitary waves, step waves (hydraulic compression/rarefaction jumps); and solutions that go over asymptotically to a periodic wave from an unperturbed layer. The phase velocity of the waves is plotted against a parameter characterizing the properties of the liquid and the flow.
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existence
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nonuniqueness
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wave modes
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thin flowing layer
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viscous fluid
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free surface
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Numerical solutions
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solitary waves
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step waves
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hydraulic compression/rarefaction jumps
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periodic wave
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unperturbed layer
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phase velocity
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0.9168227
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0.9064012
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0.90168935
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