论文标题
关于固定和统一旋转涡流纸的评论:灵活性结果
Remarks on stationary and uniformly-rotating vortex sheets: Flexibility results
论文作者
论文摘要
在本文中,我们构建了涡流方程的新的,均匀旋转的溶液,这些方程与持续的涡度振幅圆形分叉。通过Lyapunov-Schmidt还原和还原系统的二阶扩展来实现证明。
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.