Wave suppression under the action of a viscous film on the surface of an ideal fluid
type: Item
instance of: scholarly article
title: Wave suppression under the action of a viscous film on the surface of an ideal fluid
zbMATH Open document ID: 0654.76026
DOI: 10.1016/0021-8928(87)90049-9
author: P. A. Vislousov
author: Eh. N. Potetyunko
published in: Journal of Applied Mathematics and Mechanics
publication date: 1987-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76D08
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 4068454
zbMATH Keywords: film suppression
zbMATH Keywords: two-layer flow
zbMATH Keywords: linearized Euler equations
zbMATH Keywords: gravitation-capillary waves
zbMATH Keywords: viscous film
MaRDI profile type: Publication
full work available at URL: 0021-8928(87)90049-9
OpenAlex ID: W2081099168
cites work: Q5732396
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description: scientific article; zbMATH DE number 4068454