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Эта публикация цитируется в 8 научных статьях (всего в 8 статьях)
On the 60th birthday of professor V.V. Kozlov
Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov Institute of Computer Science, Universitetskaya 1, Izhevsk 426034 Russia
Аннотация:
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 $S^2$ 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.
Ключевые слова:
hydrodynamics on a sphere, coupled body-vortex system, mass vortex, equations of motion, integrability.
Поступила в редакцию: 06.06.2009 Принята в печать: 04.09.2010
Образец цитирования:
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Coupled motion of a rigid body and point vortices on a two-dimensional spherical surface”, Regul. Chaotic Dyn., 15:4-5 (2010), 440–461
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd509 https://www.mathnet.ru/rus/rcd/v15/i4/p440
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