A model for the two-way propagation of water waves in a channel
Jerry L. Bona, Ronald Smith
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Source: Crossref
Published: Jan 1, 1976
DOI: 10.1017/s030500410005218x
Open original source ↗Source abstract
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.
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