|
Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 3, Pages 319–343
(Mi nd96)
|
|
|
|
Coupled motion of a rigid body and point vortices on a sphere
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov Institute of Computer Science
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
Citation:
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov, “Coupled motion of a rigid body and point vortices on a sphere”, Nelin. Dinam., 5:3 (2009), 319–343
Linking options:
https://www.mathnet.ru/eng/nd96 https://www.mathnet.ru/eng/nd/v5/i3/p319
|
Statistics & downloads: |
Abstract page: | 257 | Full-text PDF : | 75 | First page: | 1 |
|