Twist dynamics of vortex interaction in a time-periodic deformation flow

IF 1 3区 数学 Q1 MATHEMATICS
Zaitao Liang, Feng Wang, Haining Zhu
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引用次数: 0

Abstract

In this paper, we consider a system of vortex interaction in a time-periodic deformation flow. By introducing some new variables, we transform the system into a singular planar system. In polar coordinates, based on a new stability criterion established by the third-order approximation method, we establish sufficient conditions for the existence of twist periodic solution with nonzero angular momentum for the radial equation of the system. Notably, the twist solution is stable in the sense of Lyapunov. Consequently, the singular planar system possesses a periodic solution which is Lyapunov stable in the radial direction.

时间周期变形流中涡旋相互作用的扭曲动力学
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来源期刊
CiteScore
2.10
自引率
10.00%
发文量
99
审稿时长
>12 weeks
期刊介绍: This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.
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