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Comparison principles for free-surface flows with gravity

Published online by Cambridge University Press:  26 April 2006

Walter Craig  and
Peter Sternberg
Walter Craig
Affiliation:
Department of Mathematics, Brown University, Providence, RI 02912, USA
Peter Sternberg
Affiliation:
Department of Mathematics, Indiana University, Bloomington, IN 47405, USA
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Abstract

This article considers certain two-dimensional, irrotational, steady flows in fluid regions of finite depth and infinite horizontal extent. Geometrical information about these flows and their singularities is obtained, using a variant of a classical comparison principle. The results are applied to three types of problems: (i) supercritical solitary waves carrying planing surfaces or surfboards, (ii) supercritical flows past ship hulls and (iii) supercritical interfacial solitary waves in systems consisting of two immiscible fluids.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 230 , September 1991 , pp. 231 - 243
Copyright
© 1991 Cambridge University Press

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