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A model for the two-way propagation of water waves in a channel

Published online by Cambridge University Press:  24 October 2008

Jerry L. Bona  and
Ronald Smith
Jerry L. Bona
Affiliation:
University of Chicago and University of Cambridge
Ronald Smith
Affiliation:
University of Chicago and University of Cambridge
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Extract

Global existence, uniqueness and regularity of solutions and continuous dependence of solutions on varied initial data are established for the initial-value problem for the coupled system of equations

This system has the same formal justification as a model for the two-way propagation of (one-dimensional) long waves of small but finite amplitude in an open channel of water of constant depth as other versions of the Boussinesq equations. A feature of the analysis is that bounds on the wave amplitude η are obtained which are valid for all time.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 79 , Issue 1 , January 1976 , pp. 167 - 182
Copyright
Copyright © Cambridge Philosophical Society 1976

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References

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