Motion of two spheres in ideal fluid. I. Equations o motions in the Euclidean space. First integrals and reduction

Borisov A. V.; Mamaev I. S.; Ramodanov S. M.

Motion of two spheres in ideal fluid. I. Equations o motions in the Euclidean space. First integrals and reduction

2007, Vol. 3, No. 4, pp. 411-422

Author(s): Borisov A. V., Mamaev I. S., Ramodanov S. M.

The paper deals with the derivation of the equations of motion for two spheres in an unbounded volume of ideal and incompressible fluid in 3D Euclidean space. Reduction of order, based on the use of new variables that form a Lie algebra, is offered. A trivial case of integrability is indicated.

Keywords: motion of two spheres, ideal fluid, reduction, integrability

Citation: Borisov A. V., Mamaev I. S., Ramodanov S. M., Motion of two spheres in ideal fluid. I. Equations o motions in the Euclidean space. First integrals and reduction, Rus. J. Nonlin. Dyn., 2007, Vol. 3, No. 4, pp. 411-422

DOI:10.20537/nd0704004

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