论文标题
无限深度中的本杰明·弗尼不稳定
The Benjamin-Feir instability in the infinite depth
论文作者
论文摘要
我们证明，斯托克的周期性幅度足够小，在重力下在二维，无限深且无旋流的自由表面上移动，这对于缓慢的调制而言是不稳定的，对本杰明和费尔的正式参数进行了严格的合理性。
We prove that a Stokes' periodic wave of sufficiently small amplitude, traveling under gravity at the free surface of a two dimensional, infinitely deep, and irrotational flow, is spectrally unstable to slow modulation, rigorously justifying Benjamin and Feir's formal argument.
