69 citations · 301 across the 15 of their papers we have counts for
5 papers · 1 filter
Lie algebras in vortex dynamics and celestial mechanics - IV
A. V. Bolsinov, A. V. Borisov, I. S. Mamaev
The work of A.V. Borisov, A.E. Pavlov, Dynamics and Statics of Vortices on a Plane and a Sphere - I (Reg. & Ch. Dynamics, 1998, Vol. 3, No 1, p.28-39) introduces a naive descriptio…
Dynamics of rolling disk
A. V. Borisov, I. S. Mamaev, A. A. Kilin
In the paper we present the qualitative analysis of rolling motion without slipping of a homogeneous round disk on a horisontal plane. The problem was studied by S.A. Chaplygin, P.…
Integrability of the problem of motion of a cylinder and a point vortex in a perfect fluid
A. V. Borisov, I. S. Mamaev
Motion of a cylinder dynamically interacting with n point vortices in a perfect fluid is considered. A nonliniear Poisson structure and two integrals of motion are found. The equat…
Euler-Poisson Equations and Integrable Cases
A. V. Borisov, I. S. Mamaev
In this paper we propose a new approach to the study of integrable cases based on intensive computer methods' application. We make a new investigation of Kovalevskaya and Goryachev…
Motion of a circular cylinder and n point vortices in a perfect fluid
A. V. Borisov, I. S. Mamaev, S. M. Ramodanov
The paper studies the system of a rigid body interacting dynamically with point vortices in a perfect fluid. For arbitrary value of vortex strengths and circulation around the cyli…