Global bifurcation for water waves with capillary effects and constant vorticity

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• 作者：Bogdan-Vasile Matioc (1)
  
• 关键词：Global bifurcation ; Constant vorticity ; Stagnation points ; 35C07 ; 35R35 ; 47J15 ; 76B03 ; 76B45
• 刊名：Monatshefte f篓鹿r Mathematik
• 出版年：2014
• 出版时间：July 2014
• 年：2014
• 卷：174
• 期：3
• 页码：459-475
• 全文大小：
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• 作者单位：Bogdan-Vasile Matioc (1)
  
  1. Institut f眉r Mathematik, Universit盲t Wien, Nordbergstra脽e 15, 1090聽, Vienna, Austria
  
• ISSN：1436-5081

文摘

We study periodic capillary and capillary-gravity waves traveling over a water layer of constant vorticity and finite depth. Inverting the curvature operator, we formulate the mathematical model as an operator equation for a compact perturbation of the identity. By means of global bifurcation theory, we then construct global continua consisting of solutions of the water wave problem which may feature stagnation points. A characterization of these continua is also included.