| 在均匀剪切流动中的Stokes波 |
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| 引用本文： | 陶明德,岑韵. 在均匀剪切流动中的Stokes波[J]. 力学学报, 1989, 0(4) |
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| 作者姓名： | 陶明德 岑韵 |
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| 作者单位： | 复旦大学(陶明德)，复旦大学(岑韵) |
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| 摘 要： | 本文从Euler方程出发讨论在均匀剪切流动中的Stokes波·把未知函数和波速展开成渐近级数,利用Fredholm择一定理来确定待定常数。得到了在均匀剪切流中二阶波形并研究了均匀剪切流对增水的影响。当流速为零时,本文的结果就退化为已有的在静水中的stokes波。
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| 关 键 词： | 斯托克斯波 均匀剪切流 Fredholm择一定理 |
STOKES WAVES IN UNIFOM SHEAR FLOW |
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| Tao Mingde,Cen Yun. STOKES WAVES IN UNIFOM SHEAR FLOW[J]. chinese journal of theoretical and applied mechanics, 1989, 0(4) |
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| Authors: | Tao Mingde Cen Yun |
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| Affiliation: | Fudan University |
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| Abstract: | In this paper, we discuss the Stokes waves in uniform shear flow from the Euler equations. The unknown functions and the wave velocity are expanded as asymptotic series, and an undetermined constant is determined using Fredholm's theorem. The 2nd-order shapes of the free surface in uniform shear flow and the effect of uniform shear flow on set-up is studied. When the flow velocity is equal to zero, the results in this paper degenerate to the Stokes waves which have already been obtained in rest water. |
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| Keywords: | Stokes waves uniform shear flow Fredholm's alternative theorem |
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