Ansatzes for the Navier-Stokes field are described. These ansatzes reduce the
Navier-Stokes equations to system of differential equations in three, two, and
one independent variables. The large sets of exact solutions of the
Navier-Stokes equations are constructed.
@article{0207016,
author = {Fushchych, Wilhelm I. and Popovych, Roman O.},
title = {Symmetry reduction and exact solutions of the Navier-Stokes equations},
journal = {arXiv},
volume = {2002},
number = {0},
year = {2002},
language = {en},
url = {http://dml.mathdoc.fr/item/0207016}
}
Fushchych, Wilhelm I.; Popovych, Roman O. Symmetry reduction and exact solutions of the Navier-Stokes equations. arXiv, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/0207016/