SIAM Journal on Applied Dynamical Systems, Volume 20, Issue 1, Page 149-164, January 2021.
In this paper, we shall prove the stability of the particle advection around a fixed vortex in a two-dimensional ideal fluid under the action of a periodic background flow induced by a polynomial field. The proof relies on the identification of closed invariant curves around the origin by means of Moser's invariant curve theorem.

中文翻译：

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点涡旋在任意多项式扰动下引起的运动的稳定性

SIAM应用动力学系统杂志，第20卷，第1期，第149-164页，2021
年1月。在本文中，我们将证明在二维理想流体的作用下，绕固定涡旋运动的粒子对流具有一定的稳定性。多项式场引起的周期性背景流动。证明依赖于借助于Moser不变曲线定理对原点附近的闭合不变曲线的识别。