Integrability of the Problem of the Motion of a Cylinder and a Vortex in an Ideal Fluid

被引：0

作者：

A. V. Borisov

I. S. Mamaev

机构：

[1] Institute of Computer Studies,

[2] Udmurt State University,undefined

来源：

Mathematical Notes | 2004年 / 75卷

关键词：

ideal fluid; motion of a circular cylinder in an ideal fluid; point vortices; Poisson structure; Poisson bracket; Casimir function;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we obtain a nonlinear Poisson structure and two first integrals in the problem of the plane motion of a circular cylinder and n point vortices in an ideal fluid. This problem is a priori not Hamiltonian; specifically, in the case n= 1 (i.e., in the problem of the interaction of a cylinder with a vortex) it is integrable.

引用

页码：19 / 22

页数：3

共 5 条

[1]

Ramodanov S. M.(2001)Motion of a Circular Cylinder and a Vortex in an Ideal Fluid Reg. & Chaot. Dyn. 6 33-38

[2]

Shashikanth B. N.(2002)The Hamiltonian structure of a 2D rigid circular cylinder interacting dynamically with Phys. of Fluids 14 1214-1227

[3]

Marsden J. E.(undefined) point vortices undefined undefined undefined-undefined

[4]

Burdick J. W.(undefined)undefined undefined undefined undefined-undefined

[5]

Kelly S. D.(undefined)undefined undefined undefined undefined-undefined

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