| 三层密度分层流体毛细重力波二阶Stokes波解 |
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| 引用本文： | 崔巍,闫在在,木仁.三层密度分层流体毛细重力波二阶Stokes波解[J].物理学报,2014,63(14):140301-140301. |
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| 作者姓名： | 崔巍 闫在在 木仁 |
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| 作者单位： | 1. 内蒙古工业大学理学院, 呼和浩特 010051;2. 内蒙古工业大学管理学院, 呼和浩特 010051 |
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| 基金项目： | 内蒙古自然科学基金(批准号:2013MS1012);2013高等学校博士学科点专项科研基金(批准号:20131514110005)资助的课题~~ |
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| 摘 要： | 以小振幅波理论为基础,利用摄动方法研究了三层密度分层流体的毛细重力波,给出了三层成层状态下各层流体速度势的二阶渐近解及毛细重力波波面位移的二阶Stokes波解.结果表明:一阶解及二阶解除了依赖于各层流体的厚度及密度,与表面张力也有很重要的关系.
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| 关 键 词： | 三层密度分层流体 毛细重力波 二阶Stokes波解 小振幅波理论 |
| 收稿时间： | 2014-03-11 |
Second-order Stokes wave solutions for gravity capillary water waves in three-layer dendity-stratified fluid |
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| Cui Wei,Yan Zai-Zai,Mu Ren.Second-order Stokes wave solutions for gravity capillary water waves in three-layer dendity-stratified fluid[J].Acta Physica Sinica,2014,63(14):140301-140301. |
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| Authors: | Cui Wei Yan Zai-Zai Mu Ren |
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| Abstract: | In this paper, gravity-capillary water waves in a three-layer stratified fluid are investigated by using a perturbation method, and the second-order asymptotic solutions of the velocity potentials and the second-order Stokes solutions of the associated elevations of the gravity-capillary water waves are presented based on the small amplitude wave theory. As expected, both the first-order and second-order solutions derived depend on not only the depth and density of the three-layer fluid but also the surface tension.
Keywords：
three-layer density-stratified fluid
gravity-capillary water waves
second-order Stokes solutions
small amplitude wave theory |
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| Keywords: | three-layer density-stratified fluid gravity-capillary water waves second-order Stokes solutions small amplitude wave theory |
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