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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2405.06529 |
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Table of Contents:
- We consider classical steady water waves with a free surface, a flat bottom and constant vorticity $γ$. In the adverse case $γ>0$ we prove that there is an absolute upper bound on the amplitude, independent of the physical constants, provided that $γ$ is sufficiently small. In any favorable case $γ\leq0$ we present a new proof of such an absolute bound on the amplitude and prove that the amplitude tends to zero as $γ$ tends to negative infinity.