论文标题

Errata和Addenda至:“表面上的流体动力涡旋”和“在恒定负曲率的闭合表面上的涡流运动”

Errata and Addenda to: "Hydrodynamic Vortex on Surfaces" and "The motion of a vortex on a closed surface of constant negative curvature"

论文作者

Grotta-Ragazzo, Clodoaldo

论文摘要

标题中的两篇论文包含一些不完整的方程式。 Bjorn Gustafsson最近宣布了缺少的术语,这些术语是拓扑起源。在本说明中,我们介绍了在紧凑的无边界表面中单个涡流的情况下,Gustafsson的方程式,并表明我们在不完整方程式中得出的许多结论仍然有效。似乎Gustafsson方程中的额外功能只能以基本功能为单位,仅针对两道肌而写,这是在本注释的末尾完成的。

The two papers in the title contain some equations that are not complete. The missing terms, which are of topological origin, were recently unveiled by Bjorn Gustafsson. In this note we present the equations of Gustafsson in the case of a single vortex in a compact boundaryless surface, and show that many conclusions we have reached with the incomplete equations remain valid. It seems that the the extra-terms in Gustafsson's equations can be explicitly written in terms of elementary functions only for the two-torus, and this is done at the end of this note.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源