REDUCTION AND EXACT-SOLUTIONS OF THE NAVIER-STOKES EQUATIONS

被引：22

作者：

FUSHCHICH, WI

SHTELEN, WM

SLAVUTSKY, SL

机构：

[1] Inst. of Math., Kiev

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 05期

关键词：

D O I：

10.1088/0305-4470/24/5/012

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We construct a complete set of G approximately (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 we thereby obtain solutions of the NS equations. Formulae of group multiplication of solutions are given. Several non-Lie ansatze are discussed.

引用

页码：971 / 984

页数：14

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