Bifurcation of the solution to the problem of steady traveling waves in a layer of viscous liquid on an inclined plane (Q761896)

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scientific article; zbMATH DE number 3889124
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English
Bifurcation of the solution to the problem of steady traveling waves in a layer of viscous liquid on an inclined plane
scientific article; zbMATH DE number 3889124

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    Bifurcation of the solution to the problem of steady traveling waves in a layer of viscous liquid on an inclined plane (English)
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    1983
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    An investigation is made of the values of the wave number for which a periodic solution is not unique; a bifurcation equation is derived, the number of bifurcating solutions is found, and their behavior near a bifurcation point is considered. The bifurcating solutions are continued numerically with respect to a parameter (the wave number) from the neighborhoods of the bifurcation points.
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    viscous liquid film
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    steady traveling waves
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    inclined plane
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    limit
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    of vanishing Reynolds number
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    periodic solution
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    bifurcation equation
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