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On the growth of the vorticity support for an incompressible non-viscous fluid in a two-dimensional exterior domain. (English) Zbl 0845.35089
Summary: We study the time evolution of the support of a positive vorticity for a non-viscous incompressible fluid evolving in \(\mathbb{R}^2- D\), where \(D\) is a compact domain with smooth boundary. We bound its growth. In the same time we prove also that a fluid particle initially close to the origin cannot go fast away.

MSC:
35Q35 PDEs in connection with fluid mechanics
35Q05 Euler-Poisson-Darboux equations
76B47 Vortex flows for incompressible inviscid fluids
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