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Steady nonlinear capillary waves on curved sheets

Published online by Cambridge University Press:  31 January 2002

DARREN CROWDY
DARREN CROWDY
Affiliation:
Department of Mathematics, Imperial College of Science, Technology and Medicine, 180 Queen’s Gate, London SW7 2BZ, UK email: d.crowdy@ic.ac.uk
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Abstract

This paper presents a new class of solutions for steady nonlinear capillary waves on a curved sheet of fluid in the plane. The solutions are exact in that the free surfaces of the sheet and the associated flow field can be found in closed form. The solutions are generalizations of the classic solutions for finite amplitude waves on fluid sheets [5] to the case where the fluid sheets are curved.

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 12 , Issue 6 , December 2001 , pp. 689 - 708
Copyright
2001 Cambridge University Press

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