近岸和外海非线性波相互作用--确定性和随机性理论
Nonlinear wave interaction in coastal and open seas -- deterministic and stochastic theory
摘要：
本文综述了有限深度和无限深度中的波相互作用理论。这两种水波研究都是从水波的确定性控制方程开始的，从中可以推导出简化的方程来模拟感兴趣的情况，例如缓坡和修正的缓坡方程、扎哈罗夫方程或非线性薛定谔方程。这些确定性方程产生伴随的随机方程的平均量的海状态，如频谱或双谱。我们讨论了其中的几个深入，触及最近的结果开放的海洋谱的稳定性不均匀的干扰，以及新的随机方程的近岸。
英文摘要：
We review the theory of wave interaction in finite and infinite depth. Both of these strands of water-wave research begin with the deterministic governing equations for water waves, from which simplified equations can be derived to model situations of interest, such as the mild slope and modified mild slope equations, the Zakharov equation, or the nonlinear Schrödinger equation. These deterministic equations yield accompanying stochastic equations for averaged quantities of the sea-state, like the spectrum or bispectrum. We discuss several of these in depth, touching on recent results about the stability of open ocean spectra to inhomogeneous disturbances, as well as new stochastic equations for the nearshore.
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