ON CONSTANT VORTICITY FLOWS BENEATH TWO-DIMENSIONAL SURFACE SOLITARY WAVES
ON CONSTANT VORTICITY FLOWS BENEATH TWO-DIMENSIONAL SURFACE SOLITARY WAVES
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DOI：
10.1142/s1402925112400049
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发表时间：
2012-01
影响因子：
0.7
通讯作者：
R. Stuhlmeier
中科院分区：
文献类型：
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作者：
R. Stuhlmeier
我们证明，对于一个二维的、稳定的、孤立的波廓线，波下具有恒定涡量的流动同样必须是稳定的和二维的，并且涡量将指向与波传播方向正交的方向。恒定涡度是谐波速度场的标志，采用简化的涡度方程和极大值原理推导了结果。
We demonstrate that, for a two-dimensional, steady, solitary wave profile, a flow of constant vorticity beneath the wave must likewise be steady and two-dimensional, and the vorticity will point in the direction orthogonal to that of wave propagation. Constant vorticity is the hallmark of a harmonic velocity field, and the simplified vorticity equation is used along with maximum principles to derive the results.