Dynamics of a circular cylinder interacting with point vortices

被引：0
|
作者：
Borisov, AV
Mamaev, IS
Ramodanov, SM
机构：
[1] Inst Comp Sci, Izhevsk 426034, Russia
[2] Moscow MV Lomonosov State Univ, Dept Theoret Mech, Moscow 119899, Russia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2005年 / 5卷 / 01期
关键词：
point vortex; Hamiltonian system; integrable system; first integral; Poisson bracket structure; advection; qualitative and topological analysis;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper studies the system of a rigid body interacting dynamically with point vortices in a perfect fluid. For arbitrary value of vortex strengths and circulation around the cylinder the system is shown to be Hamiltonian (the corresponding Poisson bracket structure is rather complicated). We also reduced the number of degrees of freedom of the system by two using the reduction by symmetry technique and performed a thorough qualitative analysis of the integrable system of a cylinder interacting with one vortex.
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页码：35 / 50
页数：16
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