论文标题
关于固定和统一旋转涡旋的评论：刚度结果
Remarks on stationary and uniformly-rotating vortex sheets: Rigidity results
论文作者
论文摘要
在本文中，我们表明，涡旋方程的唯一解决方案是固定或均匀旋转的，负角速度$ω$，使其具有正涡度，并集中在有限的平滑曲线与有限长度的有限偏置截断的结合中，这是微不足道的一个：恒定的涡度尺寸，在浓度稳定的稳定性上支持嵌套的嵌套圈子。证明遵循降低的论点和变化风味的演算。
In this paper, we show that the only solution of the vortex sheet equation, either stationary or uniformly rotating with negative angular velocity $Ω$, such that it has positive vorticity and is concentrated in a finite disjoint union of smooth curves with finite length is the trivial one: constant vorticity amplitude supported on a union of nested, concentric circles. The proof follows a desingularization argument and a calculus of variations flavor.
