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Analytical and convergence properties of the Euler-Îą model

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If you have a question about this talk, please contact Dan Brinkman .

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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Talks are run virtually on Zoom. Please register vie the link above. CRUK CI Lecture Theatre (Room 001) Rooms SG1 & SG2, Alison Richard Building, 7 West Road, Cambridge, CB3 9DT

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