Article ID Journal Published Year Pages File Type
790568 Journal of Applied Mathematics and Mechanics 2008 6 Pages PDF
Abstract

A geometrical description of three-dimensional irrotational vector fields which are partially invariant with respect to the SO(3) group of rotations is given. It is shown that the motion of a continuum, that satisfies the equation of continuity and is partially invariant with respect to SO(3), is necessarily rotational, that is, the curl of the velocity vector is non zero.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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