Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Small-amplitude waves on the surface of a layer of a viscous liquid

Authors: L. Cortelezzi and A. Prosperetti
Journal: Quart. Appl. Math. 38 (1981), 375-389
MSC: Primary 76D99
DOI: https://doi.org/10.1090/qam/614548
MathSciNet review: 614548
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Abstract: We study the initial-value problem posed by the small-amplitude waves on the surface of a layer of a viscous fluid of infinite lateral extent. The problem of the motion of the interface is reduced to an integro-differential equation which is solved by means of the Laplace transform. Explicit numerical results for illustrative cases are presented.

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DOI: https://doi.org/10.1090/qam/614548
Article copyright: © Copyright 1981 American Mathematical Society

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