关于周期性涡斑的综述
Survey on periodic vortex patches
AI总结：
该综述聚焦二维欧拉方程和涡斑解，重新审视不可压缩流体动力学中周期解存在性的经典结果，通过结合原著思想与最新进展，对经典构造进行统一简化阐述。
AI中文摘要：
本综述重新审视了不可压缩流体动力学中周期解存在性的经典结果。由于该主题范围广泛，我们将注意力限制在最简单且最具说明性的框架：二维欧拉方程和涡斑解。目的不是呈现新结果，而是通过将原著中的思想与最新进展相结合，对几种经典构造进行统一且简化的阐述。
英文摘要：
This survey revisits classical results on the existence of periodic solutions in incompressible fluid dynamics. Owing to the breadth of the subject, we restrict our attention to the simplest and most illustrative framework: the two-dimensional Euler equations and vortex patch solutions. The aim is not to present new results, but rather to provide a unified and streamlined exposition of several classical constructions by combining ideas from the original works with more recent developments.
