Reduction and exact solutions of the Navier-Stokes equations

W. I. Fushchich; W. M. Shtelen; S. L. Slavutsky

doi:10.1088/0305-4470/24/5/012

Reduction and exact solutions of the Navier-Stokes equations

W. I. Fushchich, W. M. Shtelen, S. L. Slavutsky

Research output: Contribution to journal › Article › peer-review

25 Scopus citations

Abstract

The authors construct a complete set of G(1,3)-inequivalent ansatze of codimension 1 for the Navier-Stokes (NS) field which reduce the NS equations to systems of ordinary differential equations (ODE). Having solved these ODEs they thereby obtain solutions of the NS equations. Formulae of group multiplication of solutions are given. Several non-Lie ansatze are discussed.

Original language	English (US)
Article number	012
Pages (from-to)	971-984
Number of pages	14
Journal	Journal of Physics A: Mathematical and General
Volume	24
Issue number	5
DOIs	https://doi.org/10.1088/0305-4470/24/5/012
State	Published - 1991
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy

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10.1088/0305-4470/24/5/012

Cite this

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abstract = "The authors construct a complete set of G(1,3)-inequivalent ansatze of codimension 1 for the Navier-Stokes (NS) field which reduce the NS equations to systems of ordinary differential equations (ODE). Having solved these ODEs they thereby obtain solutions of the NS equations. Formulae of group multiplication of solutions are given. Several non-Lie ansatze are discussed.",

author = "Fushchich, {W. I.} and Shtelen, {W. M.} and Slavutsky, {S. L.}",

year = "1991",

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AU - Fushchich, W. I.

AU - Shtelen, W. M.

AU - Slavutsky, S. L.

PY - 1991

Y1 - 1991

N2 - The authors construct a complete set of G(1,3)-inequivalent ansatze of codimension 1 for the Navier-Stokes (NS) field which reduce the NS equations to systems of ordinary differential equations (ODE). Having solved these ODEs they thereby obtain solutions of the NS equations. Formulae of group multiplication of solutions are given. Several non-Lie ansatze are discussed.

AB - The authors construct a complete set of G(1,3)-inequivalent ansatze of codimension 1 for the Navier-Stokes (NS) field which reduce the NS equations to systems of ordinary differential equations (ODE). Having solved these ODEs they thereby obtain solutions of the NS equations. Formulae of group multiplication of solutions are given. Several non-Lie ansatze are discussed.

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Reduction and exact solutions of the Navier-Stokes equations

Abstract

All Science Journal Classification (ASJC) codes

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