关于静止和均匀旋转旋涡片的备注:柔性结果

Philosophical Transactions of the Royal Society A Pub Date : 2020-12-16 DOI:10.1098/rsta.2021.0045

Javier G'omez-Serrano, Jaemin Park, Jia Shi, Yao Yao

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引用次数: 7

摘要

本文构造了由等涡度幅值圆分叉的涡片方程的新的均匀旋转解。证明是通过Lyapunov-Schmidt约简和约简系统的二阶展开来完成的。本文是主题问题“物理流体动力学中的数学问题(第二部分)”的一部分。

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Remarks on stationary and uniformly rotating vortex sheets: flexibility results

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. This article is part of the theme issue ‘Mathematical problems in physical fluid dynamics (part 2)’.

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Philosophical Transactions of the Royal Society A

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