|
This article is cited in 8 scientific papers (total in 8 papers)
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
Abstract:
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.
Keywords:
hydrodynamics on a sphere, coupled body-vortex system, mass vortex, equations of motion, integrability.
Received: 06.06.2009 Accepted: 04.09.2010
Citation:
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
Linking options:
https://www.mathnet.ru/eng/rcd509 https://www.mathnet.ru/eng/rcd/v15/i4/p440
|
|