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

共 50 条

[41] Review of similarity stretching exact solutions of the Navier-Stokes equations
Wang, C. Y.
[J]. EUROPEAN JOURNAL OF MECHANICS B-FLUIDS, 2011, 30 (05) : 475 - 479
[42] SEVERAL EXACT SOLUTIONS OF THE SIMPLIFIED NAVIER-STOKES EQUATIONS (SNSE)
Gao Zhi Institute of Mechanics
[J]. Acta Mechanica Sinica, 1986, (02) : 109 - 120
[43] Exact solutions to the Navier-Stokes equations with generalized separation of variables
Polyanin, AD
[J]. DOKLADY PHYSICS, 2001, 46 (10) : 726 - 731
[44] AN EXACT SOLUTION OF THE NAVIER-STOKES EQUATIONS
HUNTER, HE
[J]. JOURNAL OF THE AEROSPACE SCIENCES, 1959, 26 (03): : 181 - 182
[45] AN EXACT SOLUTION OF THE NAVIER-STOKES EQUATIONS
CHESTER, W
[J]. JOURNAL OF THE AERONAUTICAL SCIENCES, 1957, 24 (11): : 853 - 854
[46] ON EXACT UNSTEADY NAVIER-STOKES SOLUTIONS
OBRIEN, V
[J]. INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1984, 22 (03) : 343 - 346
[47] Nonlinear instability of the solutions of the Navier-Stokes equations: Formulas for constructing exact solutions
A. D. Polyanin
[J]. Theoretical Foundations of Chemical Engineering, 2009, 43 : 881 - 888
[48] Nonlinear instability of the solutions of the Navier-Stokes equations: Formulas for constructing exact solutions
Polyanin, A. D.
[J]. THEORETICAL FOUNDATIONS OF CHEMICAL ENGINEERING, 2009, 43 (06) : 881 - 888
[49] Exact solutions of the navier-stokes equations via Leray's scheme
Okamoto H.
[J]. Japan Journal of Industrial and Applied Mathematics, 1997, 14 (2) : 169 - 197
[50] A survey on a class of exact solutions of the Navier-Stokes equations and a model for turbulence
Ohkitani, K
[J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2004, 40 (04) : 1267 - 1290

← 1 2 3 4 5 →