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Symmetry reduction and exact solutions of the Navier-Stokes equations

Wilhelm I. Fushchych, Roman O. Popovych

Published 2002-07-11, updated 2002-07-16Version 2

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.

Comments: LaTex2e, 62 pages
Journal: J. Nonlinear Math. Phys. 1 (1994), 75-113, 158-188
Subjects: 35Q30, 35A30, 35C05, 76D05
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