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Numerical evidence of nonuniqueness in the evolution of vortex sheets

Milton C. Lopes FilhoJohn LowengrubHelena J. Nussenzveig LopesYuxi Zheng — 2006

ESAIM: Mathematical Modelling and Numerical Analysis


We consider a special configuration of vorticity that consists of a pair of externally tangent circular vortex sheets, each having a circularly symmetric core of bounded vorticity concentric to the sheet, and each core precisely balancing the vorticity mass of the sheet. This configuration is a stationary weak solution of the 2D incompressible Euler equations. We propose to perform numerical experiments to verify that certain approximations of this flow configuration converge to a non-stationary...

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