STABILITY OF THE THOMSON VORTEX POLYGON WITH EVENLY MANY VORTICES OUTSIDE A CIRCULAR DOMAIN

L. G. Kurakin; I. V. Ostrovskaya

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STABILITY OF THE THOMSON VORTEX POLYGON WITH EVENLY MANY VORTICES OUTSIDE A CIRCULAR DOMAIN

机译：圆形区域外有许多涡流的汤姆森涡旋多边形的稳定性

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摘要

We consider the stability problem for the stationary rotation of a regular point vortex ngon lying outside a circular domain. After the article of Havelock (1931), the complete solution of the problem remains unclear in the case 2 ≤ n ≤ 6. We obtain the exhaustive results for evenly many vortices n = 2, 4, 6.

机译：我们考虑位于圆域外部的正点涡旋ngon的静态旋转的稳定性问题。根据Havelock（1931）的文章，在2≤n≤6的情况下，该问题的完整解决方案仍不清楚。对于均匀= 2、4、6的许多涡旋，我们获得了详尽的结果。

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《Siberian Mathematical Journal》 |2010年第3期|共12页
作者
L. G. Kurakin; I. V. Ostrovskaya;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
stability; point vortex; stationary motion; Hamiltonian systems;

机译：稳定性;点涡;平稳运动;哈密顿系统;

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专利

1. STABILITY OF THE THOMSON VORTEX POLYGON WITH EVENLY MANY VORTICES OUTSIDE A CIRCULAR DOMAIN [J] . L. G. Kurakin, I. V. Ostrovskaya Siberian Mathematical Journal . 2010,第3期

机译：圆形区域外有许多涡流的汤姆森涡旋多边形的稳定性
2. On the Stability of Thomson’s Vortex Configurations Inside a Circular Domain [J] . L. G. Kurakin Regular & chaotic dynamics . 2010,第1期

机译：圆形域内汤姆森涡旋结构的稳定性
3. On Stability of a Regular Vortex Polygon in the Circular Domain [J] . Leonid Kurakin Journal of mathematical fluid mechanics . 2005,第Suppla3期

机译：圆域中规则涡旋多边形的稳定性
4. MOTION OF UNSTABLE POLYGONAL RING OF VORTEX POINTS ON SPHERE WITH POLE VORTICES [C] . Takashi Sakajo IUTAM Symposium on Elementary Vortices and Coherent Structures . 2006

机译：涡旋点的不稳定多边形环运动在球体上的球体与杆状涡旋
5. Balanced Partitioning of Polygonal Domains. [D] . Kostitsyna, Irina. 2013

机译：多边形域的平衡分区。
6. Gamma-ray vortices from nonlinear inverse Thomson scattering of circularly polarized light [O] . Yoshitaka Taira, Takehito Hayakawa, Masahiro Katoh -1

机译：圆偏振光的非线性汤姆森逆散射引起的伽马射线涡旋
7. Point vortices in a circular domain: stability, resonances, and instability of stationary rotation of a regular vortex polygon [O] . KURAKIN Leonid 2007

机译：圆形域中的涡旋：稳定性，共振和常规涡旋多边形的静止旋转的不稳定性
8. Stability of Inviscid Vortex Streets of Finite Cored Vortices [R] . Meiron, D. I., Saffman, P. G., Schatzman, J. C. 1984

机译：有限线性涡旋的Inviscid涡街的稳定性

STABILITY OF THE THOMSON VORTEX POLYGON WITH EVENLY MANY VORTICES OUTSIDE A CIRCULAR DOMAIN

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