## 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
Full Text: