On a prolongation construction for local non-divergent vector fields on Rn
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.
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Review
For citations:
Lukatsky A.M. On a prolongation construction for local non-divergent vector fields on Rn. Civil Aviation High Technologies. 2015;(220):88-94. (In Russ.)
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