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剪切流中界面波的二阶Stokes 波解
杨联贵¹, 杨红丽^2,3, 宋金宝², 侯一筠²
1.内蒙古大学数学科学学院;2.中国科学院海洋研究所;3.中国科学院研究生院

摘要:

考虑了均匀剪切流场中强非线性界面波,建立了基于任意水深处速度而不是通常所用的平均速度为速度变量的模型,分析了其色散关系,并求得了各层速度的二阶渐近解和界面内波波面位移的二阶Stokes 解,揭示了波流之间的非线性相互作用和界面波解之间的非线性相互作用。

关键词: 剪切流界面波 Stokes 波解

DOI：

分类号:

基金项目:中国科学院创新项目( KZCX2-YW-201) ;教育部留学回国人员科研启动基金和内蒙古自然科学基金资助项目

Second-order stokes solutions for interfacial waves with uniform shear flows

Abstract:

Strongly nonlinear interfacial waves of a finite amplitude with uniform shear flows are considered, a new model is derived using the velocities at arbitrary distances from the still water level as the velocity variables instead of the commonly used depth-averaged velocities. Dispersion relations are analyzed, and the second-order asymptotic solutions of the velocities and the second-order Stokes solutions of the associated elevations of the interfacial waves are presented.

Key words: uniform shear flows interfacial waves Stokes solutions

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