论文标题
长时间在有界平面域中稳定的固定点涡流周围的涡度限制
Long time confinement of vorticity around a stable stationary point vortex in a bounded planar domain
论文作者
论文摘要
在本文中，我们考虑了简单连接的有限平面域中不可压缩的欧拉方程。我们研究固定点涡流周围涡度的限制。我们表明，在[2]中获得的单位磁盘中心周围的幂定律限制在一个固定点涡流中的固定点涡流中仍然是正确的。域和固定点涡流必须满足从域到单位磁盘的共形映射表示的条件。最后讨论了明确的例子。
In this paper we consider the incompressible Euler equation in a simply-connected bounded planar domain. We study the confinement of the vorticity around a stationary point vortex. We show that the power law confinement around the center of the unit disk obtained in [2] remains true in the case of a stationary point vortex in a simply-connected bounded domain. The domain and the stationary point vortex must satisfy a condition expressed in terms of the conformal mapping from the domain to the unit disk. Explicit examples are discussed at the end.
