Linear Stability of the 2D Irrotational Circulation Flow around An Elliptical Cylinder

preprint2020arXivOpen access

Abstract

In this article we prove a linear inviscid damping result with optimal decay rates of the 2D irrotational circulation flow around an elliptical cylinder. In our result, all components of the asymptotic velocity field do not vanish and the asymptotic flow lines are not ellipse any more.

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