Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface

被引：0
作者：
A. V. Borisov
I. S. Mamaev
S. M. Ramodanov
机构：
[1] Institute of Computer Science,
来源：
Regular and Chaotic Dynamics | 2010年 / 15卷
关键词：
hydrodynamics on a sphere; coupled body-vortex system; mass vortex; equations of motion; integrability; 76B47; 70Exx; 70Hxx;
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学科分类号：
摘要：
The paper is concerned with a class of problems which involves the dynamical interaction of a rigid body with point vortices on the surface of a two-dimensional sphere. The general approach to the 2D hydrodynamics is further developed. The problem of motion of a dynamically symmetric circular body interacting with a single vortex is shown to be integrable. Mass vortices on S2 are introduced and the related issues (such as equations of motion, integrability, partial solutions, etc.) are discussed. This paper is a natural progression of the author’s previous research on interaction of rigid bodies and point vortices in a plane.
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页码：440 / 461
页数：21
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