论文标题

2D不可压缩的Euler方程的旅行涡旋对

Traveling vortex pairs for 2D incompressible Euler equations

论文作者

Cao, Daomin, Lai, Shanfa, Zhan, Weicheng

论文摘要

在本文中,我们研究了整个平面中二维不可压缩的欧拉方程的涡流化。我们为具有一般涡流函数的Euler方程构建了一个稳定的涡旋对,该方程构成了一对具有相同尺寸和相反符号的点涡流的降低。结果是使用改进的涡度方法获得的。

In this paper, we study desingularization of vortices for the two-dimensional incompressible Euler equations in the full plane. We construct a family of steady vortex pairs for the Euler equations with a general vorticity function, which constitutes a desingularization of a pair of point vortices with equal magnitude and opposite signs. The results are obtained by using an improved vorticity method.

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