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Edge waves along a sloping beach

Adrian Constantin

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We construct a family of explicit rotational solutions to the nonlinear governing equations for water waves, describing edge waves propagating over a plane-sloping beach. A detailed analysis of the edge wave dynamics and of the run-up pattern is made possible by the use of the Lagrangian approach to the water motion.


PACS

47.35.-i Hydrodynamic waves

MSC

76M25 Other numerical methods

76D33 Waves

Subjects

Fluid dynamics

Dates

Issue 45 (16 November 2001)

Received 3 July 2001

Published 2 November 2001



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