Abstract
AbstractThe three‐dimensional problem of waves due to an arbitrary initial time‐dependent surface pressure together with an elevation of the surface in a viscous fluid of constant finite depth h is examined. It is shown that the multiple‐integral expression for the surface displacement ζ is reducible to one which is correct to terms of order O(ν'), ν' = ν/(4gh3)1/2, for small coefficient of viscosity ν, under certain conditions. When the Laplace inversion is completed in ζ we arrive at new results which differ significantly from those obtained in an earlier analysis of the problem by Nikitin and Potetyunko [1].
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Schedule a callMore From: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
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