The infinitesimal group of the Navier-Stokes equations

The Navier-Stokes equations for an incompressible viscous fluid admit time translation, time dependent change of the pressure origin, a scale change, rotation of axes, and time dependent spatial translation. No other transformations appear if dependence on derivatives is allowed.

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Bibliographic Details
Published in:Acta mechanica 1981-03, Vol.38 (1-2), p.85-98
Main Author: Lloyd, S. P.
Format: Article
Language:English
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Summary:The Navier-Stokes equations for an incompressible viscous fluid admit time translation, time dependent change of the pressure origin, a scale change, rotation of axes, and time dependent spatial translation. No other transformations appear if dependence on derivatives is allowed.
ISSN:0001-5970
1619-6937
DOI:10.1007/BF01351464