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Analytical and convergence properties of the Euler-α model

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We present an analytical study of the two-dimensional incompressible Euler-alpha, an inviscid second-grade complex fluid, equations, for vortex patch and vortex sheet motion. We show the convergence of the solutions of the Euler-alpha equations to solutions of the Euler equations, and estimate the convergence rate for vortex patch with smooth boundaries. For the vortex sheet dynamics we present an alpha-regularization of the Birkhoff-Rott equation, induced by the Euler-alpha equations.

This talk is part of the Applied and Computational Analysis Graduate Seminar series.

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