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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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