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An extension of Marchioro’s bound on the growth of a vortex patch to flows with series \(L^p\) vorticity. (English) Zbl 0912.35134
The authors obtain a cubic-root bound on the growth of the support of a vortex patch in the case of incompressible two-dimensional Euler flows with compactly supported initial vorticity in \(L^p\), \(p>2\), and with a distinguished sign.
Reviewer: V.A.Sava (Iaşi)

MSC:
35Q35 PDEs in connection with fluid mechanics
76B47 Vortex flows for incompressible inviscid fluids
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