Nonlinear Waves of Vorticity
Nonlinear Waves of Vorticity
复制标题
非线性涡度波
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
P. Drazin
中科院分区：
文献类型：
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作者：
A. Barcilon;P. Drazin
本文综述了非粘不可压缩流体二维流动的涡度方程的解，该方程表示非线性波。强调地球物理应用。有些解在罗斯比平面上是有效的。有些与基本平行流和轴对称流的弱非线性扰动有关，与水动力不稳定性的初始值问题有关，与最小熵或最大熵的变分原理有关。有些是通过利用众所周知的孤子理论发现的。除了列出已知的解并综合它们与其他流体动力学结果的关系外，我们还报告了一些关于强非线性波的新思想和新解。
This is a review of solutions of the vorticity equation for two‐dimensional flow of an inviscid incompressible fluid that represent nonlinear waves. Geophysical applications are emphasized. Some of the solutions are valid in the beta‐plane of Rossby. Some are related to weakly nonlinear perturbations of basic parallel flows and axisymmetric flows, to initial‐value problems of hydrodynamic instability and to variational principles of minimal enstrophy or maximal entropy. Some have been found by exploiting well‐known ideas of the theory of solitons. In addition to listing known solutions and presenting a synthesis of their relationship to other fluid dynamic results, we report a few new ideas and new solutions for strongly nonlinear waves.