Analytical solutions to the Navier-Stokes equations

被引：42

作者：

Yuen, Manwai ^{[1
]}

机构：

[1] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 11期

关键词：

Navier-Stokes equations; Poisson equation; viscosity;

D O I：

10.1063/1.3013805

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

With the previous results for the analytical blowup solutions of the N-dimensional (N >= 2) Euler-Poisson equations, we extend the same structure to construct an analytical family of solutions for the isothermal Navier-Stokes equations and pressureless Navier-Stokes equations with density-dependent viscosity.

引用

页数：10

共 50 条

[31] ON STATISTICAL SOLUTIONS OF THE NAVIER-STOKES SYSTEM OF EQUATIONS
ARSENEV, AA
MATHEMATICS OF THE USSR-SBORNIK, 1981, 38 (01): : 31 - 44
[32] On the uniform convergence of the solutions of the Navier-Stokes equations
Thomas, TY
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1943, 29 : 243 - 246
[33] ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NAVIER-STOKES EQUATIONS
EDMUNDS, DE
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1966, 22 (01) : 15 - &
[34] On the regularity of the axisymmetric solutions of the Navier-Stokes equations
Dongho Chae
Jihoon Lee
Mathematische Zeitschrift, 2002, 239 : 645 - 671
[35] The Uniqueness of Nondecaying Solutions for the Navier-Stokes Equations
Jun Kato
Archive for Rational Mechanics and Analysis, 2003, 169 : 159 - 175
[36] Profile decomposition for solutions of the Navier-Stokes equations
Gallagher, I
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2001, 129 (02): : 285 - 316
[37] Symmetry transformation of solutions for the Navier-Stokes equations
Fakhar, K.
Hayat, T.
Yi, Cheng
Zhao, Kun
APPLIED MATHEMATICS AND COMPUTATION, 2009, 207 (01) : 213 - 224
[38] On the structure of stationary solutions of the Navier-Stokes equations
Wittwer, P
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 226 (03) : 455 - 474
[39] A Note on Similarity Solutions of Navier-Stokes Equations
K.Fakhar
T.Hayat
N.Amin
Communications in Theoretical Physics, 2010, 53 (03) : 575 - 578
[40] ON SPATIAL ANALYTICITY OF SOLUTIONS OF NAVIER-STOKES EQUATIONS
KAHANE, C
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1969, 33 (05) : 386 - &

← 1 2 3 4 5 →