论文标题
在稳定水波的幅度上，正恒定涡度
On the amplitude of steady water waves with positive constant vorticity
论文作者
论文摘要
对于具有恒定有利涡度的单向流动的二维稳定纯净水波，我们证明了在波的幅度上明确结合，由于涡度趋向于无穷大。值得注意的是，我们的结果对于任意的水波是正确的，也就是说，我们不必将自己限制在周期性或孤独或对称波中。
For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favourable vorticity, we prove an explicit bound on the amplitude of the wave, which decays to zero as the vorticity tends to infinity. Notably, our result holds true for arbitrary water waves, that is, we do not have to restrict ourselves to periodic or solitary or symmetric waves.
