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Article
A dispersive model for undular bores
In this article, consideration is given to weak bores in free-surface flows. The energy loss in the shallow-water theory for an undular bore is thought to be due to upstream oscillations that carry away the en...
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Article
Open AccessMechanical Balance Laws for Boussinesq Models of Surface Water Waves
Depth-integrated long-wave models, such as the shallow-water and Boussinesq equations, are standard fare in the study of small amplitude surface waves in shallow water. While the shallow-water theory features ...