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arXiv · 2012.12574

Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain

Martin Donati·Dragos Iftimie
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Abstract

In this paper we consider the incompressible Euler equation in a simply-connected bounded planar domain. We study the confinement of the vorticity around a stationary point vortex. We show that the power law confinement around the center of the unit disk obtained in [2] remains true in the case of a stationary point vortex in a simply-connected bounded domain. The domain and the stationary point vortex must satisfy a condition expressed in terms of the conformal mapping from the domain to the unit disk. Explicit examples are discussed at the end.

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Martin Donati, Dragos Iftimie. 2020-12-23. Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain. https://doi.org/10.1016/j.anihpc.2020.11.009

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