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Asymptotic estimates for symmetric vortex streets. (English) Zbl 0586.76029
Steady plane inviscid symmetric vortex streets are flows defined in the strip $$R\times (0,b)$$ and periodic in x with period 2a in which the flow in (-a,a)$$\times (0,b)$$ is irrotational outside a vortex core on which the vorticity takes a prescribed constant value. A family of such vortex street flows, characterized by a variational principle in which the area $$| A_{\alpha}|$$ and the centroid $$y_ c$$ of the vortex core $$A_{\alpha}$$ are fixed, will be considered. For such a family, indexed by a parameter $$\alpha$$, suppose that the core $$A_{\alpha}$$ become small in the sense that (area $$(A_{\alpha}))/y^ 2_ c\to 0$$. Asymptotic estimates on functionals such as flux constant and speed are obtained.

##### MSC:
 76B47 Vortex flows for incompressible inviscid fluids
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