Asymptotic estimates for symmetric vortex streets
Asymptotic estimates for symmetric vortex streets
复制标题
对称涡街的渐近估计
DOI：
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
G. Keady
中科院分区：
文献类型：
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作者：
G. Keady
定常平面无粘对称涡列是定义在R ×（0，B）条上的流动，它在x上具有周期性，周期为2a，其中（-a，a）×（0，B）中的流动在涡核外是无旋的，涡核上的涡量取一个预定的常数值。一类这样的涡街流，其特征在于变分原理，其中面积|Aα|和涡核Aα的质心yc是固定的。对于这样一个以参数α为索引的族，假设核Aα在获得通量常数和速度等泛函的渐近估计的意义上变小。
Abstract Steady plane inviscid symmetric vortex streets are flows defined in the strip R × (0, b) and periodic in x with period 2a in which the flow in (−a, a) × (0, b) is irrotational outside a vortex core on which the vorticity takes a prescribed constant value. A family of such vortex street flows, characterised by a variational principle in which the area |Aα| and the centroid yc of the vortex core Aα are fixed, will be considered. For such a family, indexed by a parameter α, suppose that the cores Aα become small in the sense that Asymptotic estimates on functionals such as flux constant and speed are obtained.