Wave suppression under the action of a viscous film on the surface of an ideal fluid (Q1108863)

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scientific article; zbMATH DE number 4068454
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Wave suppression under the action of a viscous film on the surface of an ideal fluid
scientific article; zbMATH DE number 4068454

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    Wave suppression under the action of a viscous film on the surface of an ideal fluid (English)
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    1987
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    We use the linearized Euler equations for an ideal fluid occupying the lower half-space, and the Navier-Stokes equations for a layer of viscous fluid of vanishingly small thickness lying above it (viscous film), to obtain the solution of the problem of gravitation-capillary waves on the surface of an ideal fluid produced by the action of surface tension. The conditions under which the viscous film seriously reduces the wave amplitude are found.
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    film suppression
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    two-layer flow
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    linearized Euler equations
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    gravitation-capillary waves
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    viscous film
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