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1. On a prolongation construction for local non-divergent vector fields on Rn

Author

A. M. Lukatsky

Subjects
locally non-divergent vector field, smooth prolongation, ideal incompressible fluid, euler equations, finite vector field, lie algebras, Motor vehicles. Aeronautics. Astronautics, TL1-4050
Abstract

The problem of a prolongation of non-divergent vector field, defined in a vicinity of zero in Rn t, to a finite non-divergent vector field on Rn is considered. Explicit formulas for the elements of the simple Lie algebra of non-divergent vector from the well-known Cartan series are obtained. This construction allows to move from the Euler equations for the ideal incompressible fluid to the Euler equations on finite-dimensional Lie groups.

Published
2016

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