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Bounds for steady water waves with vorticity |
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| Authors: | Vladimir Kozlov Nikolay Kuznetsov |
| Affiliation: | 1. Department of Mathematics, Linköping University, S-581 83 Linköping, Sweden;2. Laboratory for Mathematical Modelling of Wave Phenomena, Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol?shoy pr. 61, St. Petersburg 199178, Russian Federation |
| Abstract: | The two-dimensional free-boundary problem describing steady gravity waves with vorticity on water of finite depth is considered. Bounds on the free-surface profiles and on the total head are obtained under minimal assumptions about properties of solutions to the problem and the vorticity distribution. |
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