AI 中文总结
针对二维不可压缩欧拉方程，证明了对所有m≥12存在m重对称的带90度角的均匀旋转涡斑，刻画了相关流的性质，采用新型不动点方法完成构造。
AI 中文摘要
针对二维不可压缩欧拉方程，我们证明了对所有m≥12，存在m重对称的带90度角的均匀旋转涡斑；刻画了这些涡斑及共旋转坐标系中诱导的定常流的性质，我们的构造基于一种新型不动点方法。
英文摘要
For the 2-D incompressible Euler equation, we prove the existence of $m$-fold symmetric uniformly rotating vortex patches with 90-degree corners for all $m\geq 12$. Properties of these patches and the induced stationary flows in the co-rotating frame are characterized. Our construction is based on a novel fixed-point method.
Comments115 pages, 6 figures. Minor changes in language compared with v1. An expanded table of contents is also provided for readers' convenience
