Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



Stationary Binnie waves near resonance

Author: Songping Zhu
Journal: Quart. Appl. Math. 50 (1992), 585-597
MSC: Primary 76B15
DOI: https://doi.org/10.1090/qam/1178436
MathSciNet review: MR1178436
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Abstract: Stationary waves in an open channel with corrugated side walls possess resonant speeds at or near which the prediction of free surface waves by the linear approximation fails. However, if the nonlinear terms in the Euler equation and boundary conditions are kept, a finite amplitude of these stationary waves can be determined. In this paper, such a nonlinear approach is presented, and the amplitude of the waves near the resonant speeds is determined to be of the order of the one-third power of the side-wall corrugation amplitude.

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DOI: https://doi.org/10.1090/qam/1178436
Article copyright: © Copyright 1992 American Mathematical Society

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