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三层密度分层流体毛细重力波二阶Stokes波解

崔巍 闫在在 木仁

物理学报Issue(14):1-6,6.
物理学报Issue(14):1-6,6.DOI:10.7498/aps.63.140301

三层密度分层流体毛细重力波二阶Stokes波解

Second-order Stokes wave solutions for gravity capillary water waves in three-layer dendity-stratified fluid

崔巍 1闫在在 1木仁2

作者信息

  • 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
  • 折叠

摘要

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.

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

Key words

three-layer density-stratified fluid/gravity-capillary water waves/second-order Stokes solutions/small amplitude wave theory

引用本文复制引用

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,(14):1-6,6.

基金项目

内蒙古自然科学基金(批准号:2013MS1012)和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 (批准号:2013MS1012)

物理学报

OA北大核心CSCDCSTPCDSCI

1000-3290

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