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On a free boundary problem for the equations of tidal motions

Part of: Incompressible inviscid fluids

Published online by Cambridge University Press:  26 February 2010

Bui An Ton
Bui An Ton
Affiliation:
Department of Mathematics, University of British Columbia, Vancouver, Canada.
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Extract

The purpose of this paper is two-fold, (i) to establish the existence of a unique local solution (in time) of an initial boundary-value problem for the tidal equations in bay areas and inlets, and (ii) to show the existence of a time-periodic solution of the equations when the tide raising force satisfies a condition involving the amplitude of the force, the depth of the sea and the domain considered.

MSC classification

Secondary: 76B15: Water waves, gravity waves; dispersion and scattering, nonlinear interaction
Type
Research Article
Information
Mathematika , Volume 30 , Issue 2 , December 1983 , pp. 222 - 254
Copyright
Copyright © University College London 1983

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