Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory

Nonlinear Wave Interaction in Coastal and Open Seas: Deterministic and Stochastic Theory
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沿海和公海的非线性波浪相互作用:确定性和随机理论

DOI:
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发表时间:
2019
期刊:
Nonlinear Water Waves
影响因子:
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通讯作者:
Y. Toledo
Y. Toledo
中科院分区:
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文献类型:
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作者:
R. Stuhlmeier;T. Vrećica;Y. Toledo

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我们回顾了有限深度和无限深度的波相互作用理论。这两个水波研究方向都是从水波的确定性控制方程开始的,从它可以推导出简化的方程来模拟感兴趣的情况,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了海态平均量的随机方程,如频谱或双谱。我们对其中的几个问题进行了深入的讨论,涉及到关于公海光谱对非均匀扰动的稳定性的最新结果,以及近岸的新的随机方程。
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 Schrodinger 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.
DOI: 10.1017/jfm.2018.185
发表时间: 2016-04
影响因子: 3.7
作者:
S. Annenkov;V. Shrira
通讯作者: S. Annenkov;V. Shrira