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arXiv · 1910.07493

Asymptotic behavior of global vortex rings

Daomin Cao·Jie Wan·Guodong Wang·Weicheng Zhan
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Abstract

In this paper, we are concerned with nonlinear desingularization of steady vortex rings in $\mathbb{R}^3$ with given general nonlinearity $f$. Using the improved vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in the whole space. The requirements on $f$ are very general, and $f$ may have a simple discontinuity at the origin. Some qualitative and asymptotic properties are also established.

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Daomin Cao, Jie Wan, Guodong Wang, Weicheng Zhan. 2019-10-15. Asymptotic behavior of global vortex rings. https://arxiv.org/abs/1910.07493

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