论文标题
在水波分支中的环上的环和水波的单调性
On loops in water wave branches and monotonicity of water waves
论文作者
论文摘要
我们提供了一种非常简单的方法，如何证明在旋转情况下，在旋转情况下以任意涡度分布的水波分叉分支中没有环路。支撑流可以包含停滞点，临界层和水面可以伸出。提出了自由表面的单调性能。当分叉参数是水波时期时，给出了分叉分支的简单标准。我们表明，如果您是从速度为正/负垂直成分的水波开始的，则没有循环。
We give a quite simple approach how to prove the absence of loops in bifurcation branches of water waves in rotational case with arbitrary vorticity distribution. The supporting flow may contain stagnation points and critical layers and water surface is allowed to be overhanging. Monotonicity properties of the free surface are presented. Especially simple criterium of absence of loops is given for bifurcation branches when the bifurcation parameter is the water wave period. We show that there are no loops if you start from a water wave with a positive/negative vertical component of velocity on the positive half period.
