Symmetry reduction and exact solutions of the Navier-Stokes equations
Mathematical Physics
2010-11-03 v2 math.MP
Exactly Solvable and Integrable Systems
Fluid Dynamics
Abstract
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.
Cite
@article{arxiv.math-ph/0207016,
title = {Symmetry reduction and exact solutions of the Navier-Stokes equations},
author = {Wilhelm I. Fushchych and Roman O. Popovych},
journal= {arXiv preprint arXiv:math-ph/0207016},
year = {2010}
}
Comments
LaTex2e, 62 pages