Published in
American Institute of Physics, Physics of Fluids, 12(25), p. 2188
DOI: 10.1063/1.863711
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Small-Amplitude Waves Produced by a Submerged Vorticity Distribution on the Surface of a Viscous Liquid
Journal article published in 1982 by
A. Prosperetti 
,
L. Cortelezzi
,
L. Cortelezzi
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Abstract
The small-amplitude waves generated by a submerged vorticity distribution on the surface of a viscous fluid are studied. The linearized initial-value problem is considered, and a closed-form solution for each monochromatic component is obtained. The results of the theory are illustrated by a numerical synthesis of these components for the case of a vortex filament in water.