For the classical inviscid water wave problem under the influence of gravity, described by the Euler equation with a free surface over a flat bottom, we construct periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use globa
โฆ LIBER โฆ
Periodic Traveling Gravity Water Waves with Discontinuous Vorticity
โ Scribed by Adrian Constantin; Walter Strauss
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 510 KB
- Volume
- 202
- Category
- Article
- ISSN
- 0003-9527
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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