Yoon and Liu's analysis of long gravity waves in water of slowly varying depth is modified to allow for conservation of potential vorticity in place of their (incorrect) conservation at conventional vorticity. Yoon and Liu [l] derive a Boussinesq approximation to the Hamiltonian for long gravity wa
โฆ LIBER โฆ
Gravity waves on water of variable depth
โ Scribed by Carrier, George F.
- Book ID
- 120112199
- Publisher
- Cambridge University Press
- Year
- 1966
- Tongue
- English
- Weight
- 375 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0022-1120
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We consider existence of three-dimensional gravity waves traveling along a channel of variable depth. It is well known that the long-wave small-amplitude expansion for such waves results in the stationary Korteweg-de Vries equation, coefficients of which depend on the transverse topography of the ch