Lopes Filho, M. C.; Nussenzveig Lopes, H. J. An extension of Marchioro’s bound on the growth of a vortex patch to flows with series \(L^p\) vorticity. (English) Zbl 0912.35134 SIAM J. Math. Anal. 29, No. 3, 596-599 (1998). 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) Cited in 8 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76B47 Vortex flows for incompressible inviscid fluids Keywords:\(L^p\) vorticity; two-dimensional incompressible flow; support of vorticity; bound on the growth of the support; vortex patch; incompressible two-dimensional Euler flows PDFBibTeX XMLCite \textit{M. C. Lopes Filho} and \textit{H. J. Nussenzveig Lopes}, SIAM J. Math. Anal. 29, No. 3, 596--599 (1998; Zbl 0912.35134) Full Text: DOI