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arXiv · 2012.08709

Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results

Javier Gómez-Serrano·Jaemin Park·Jia Shi·Yao Yao
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Abstract

In this paper, we construct new, uniformly-rotating solutions of the vortex sheet equation bifurcating from circles with constant vorticity amplitude. The proof is accomplished via a Lyapunov-Schmidt reduction and a second order expansion of the reduced system.

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Javier Gómez-Serrano, Jaemin Park, Jia Shi, Yao Yao. 2020-12-16. Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results. https://arxiv.org/abs/2012.08709

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