On the symmetry of equatorial travelling water waves with constant vorticity and stagnation points

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• 作者：Alexios Aivaliotis ^{alexaiv@hotmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Symmetry ; Free-boundary ; Vorticity ; Stagnation points ; ff-plane approximation
• 刊名：Nonlinear Analysis: Real World Applications
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：34
• 期：Complete
• 页码：159-171
• 全文大小：750 K

文摘

The aim of this paper is to prove that equatorial travelling water waves at the surface of water flows with constant vorticity are symmetric, provided they have a profile that is monotonic between crests and troughs and that there are no stagnation points in the subsurface region.