# Confinement of vorticity in two dimensional ideal incompressible exterior flow

@article{Iftimie2006ConfinementOV, title={Confinement of vorticity in two dimensional ideal incompressible exterior flow}, author={Dragos Iftimie and Milton C. Lopes Filho and Helena J. Nussenzveig Lopes}, journal={Quarterly of Applied Mathematics}, year={2006}, volume={65}, pages={499-521} }

In [Math. Meth. Appl. Sci. 19 (1996) 53-62], C. Marchioro examined the problem of vorticity confinement in the exterior of a smooth bounded domain. The main result in Marchioro’s paper is that solutions of the incompressible 2D Euler equations with compactly supported nonnegative initial vorticity in the exterior of a connected bounded region have vorticity support with diameter growing at most like O(t (1/2)+" ), for any " > 0. In addition, if the domain is the exterior of a disk, then the…

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