关于 Rankine 涡附近均匀旋转涡块的刚性
偏微分方程分析
2024-01-23 v3
摘要
本文研究二维不可压缩 Euler 方程的均匀旋转涡块解。具体而言，我们证明，若该涡块解在某种弱拓扑下接近 Rankine 涡，则它要么是 Kirchhoff 椭圆，要么是 Rankine 涡。
引用
@article{arxiv.2312.12711,
title = {On the rigidity of uniformly rotating vortex patch near the Rankine vortex},
author = {Yupei Huang},
journal= {arXiv preprint arXiv:2312.12711},
year = {2024}
}
备注
In the current version, a much more direct proof of Theorem 1.2 is given without using Riemann mapping