均匀旋转涡斑的边界正则性与一个不稳定椭圆自由边界问题
偏微分方程分析
2026-04-30 v5
摘要
本文考虑与二维不可压缩Euler方程的均匀旋转涡斑解相关的变号自由边界问题。我们证明若涡斑为Lipschitz的,则其边界在奇异边界点附近局部形成角。
引用
@article{arxiv.2306.03498,
title = {Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem},
author = {Yuchen Wang and Guanghui Zhang and Maolin Zhou},
journal= {arXiv preprint arXiv:2306.03498},
year = {2026}
}
备注
28 pages, accepted by AIHPC