Existence of solutions for a class of edge wave equations

David Henry; Octavian  G. Mustafa

doi:10.3934/dcdsb.2006.6.1113

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2006, Volume 6, Issue 5: 1113-1119. Doi: 10.3934/dcdsb.2006.6.1113

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Existence of solutions for a class of edge wave equations

David Henry^1, and
Octavian G. Mustafa²

1.
School of Mathematics, Trinity College, Dublin 2
2.
Department of Mathematics, University of Craiov, Al. I Cuza 13, Craiova

Received: September 30, 2005

Revised: February 28, 2006

Published: August 2006

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Abstract

Analyzing the asymptotic properties of solutions to a class of second-order differential equations, we give criteria for the existence of edge waves for variable seabed profiles in the presence of longshore currents.

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Mathematics Subject Classification: Primary: 76B15; Secondary: 76M45, 34E05, 46N20.

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