Restricted invariance of the Navier-Stokes equation
- 1 July 1980
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 22 (1) , 313-314
- https://doi.org/10.1103/physreva.22.313
Abstract
Although the general invariance group is no larger than Galilean-scale dilitation, the Navier-Stokes equation for incompressible viscous flow admits time-dependent rotational invariance for solutions of special types, as shown by the analysis presented here.Keywords
This publication has 3 references indexed in Scilit:
- Similarity transformations for the two-dimensional, unsteady, stream-function equationJournal of Fluid Mechanics, 1978
- Similarity Methods for Differential EquationsPublished by Springer Nature ,1974
- Invariance Group of the Equation$\partial {\bf u} / \partial t = - {\bf u} \cdot \nabla {\bf u}$SIAM Journal on Applied Mathematics, 1973