Department of Mathematics, Brown University, Kassar House, 151 Thayer Street, Providence, RI 02912, USA.
Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain.
Philos Trans A Math Phys Eng Sci. 2022 Jun 27;380(2226):20210045. doi: 10.1098/rsta.2021.0045. Epub 2022 May 9.
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. This article is part of the theme issue 'Mathematical problems in physical fluid dynamics (part 2)'.
在本文中，我们构建了从具有恒定涡度幅度的圆分支出来的涡片方程的新的、均匀旋转解。证明是通过李雅普诺夫-施密特约化和约化系统的二阶展开来完成的。本文是“物理流体动力学中的数学问题（第 2 部分）”主题的一部分。
