Analytical solutions to the Navier-Stokes equations

被引：44

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 14 条

[1]

Chen GQ, 2002, HANDBOOK OF MATHEMATICAL FLUID DYNAMICS, VOL 1, P421, DOI 10.1016/S1874-5792(02)80012-X

[2] Blowup phenomena of solutions to Euler-Poisson equations [J].

Deng, YB ;

Xiang, JL ;

Yang, T .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (01) :295-306

[3] HOMOLOGOUSLY COLLAPSING STELLAR CORES [J].

GOLDREICH, P ;

WEBER, SV .

ASTROPHYSICAL JOURNAL, 1980, 238 (03) :991-997

[4] Some special solutions of the multidimensional Euler equations in RN [J].

Li, TH .

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2005, 4 (04) :757-762

[5] Stability of gaseous stars in spherically symmetric motions [J].

Lin, SS .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (03) :539-569

[6]

Lions P.L., 1998, MATH TOPICS FLUID ME, V1-2

[7]

Lions PL., 1998, MATH TOPICS FLUID ME

[8]

Makino T., 1992, Transport Theory and Statistical Physics, V21, P615, DOI 10.1080/00411459208203801

[9]

Makino T., 1986, Patterns and Waves-Qualitative Analysis of Nonlinear Differential Equations, V18, P459

[10] EQUATIONS OF FLUID-DYNAMICS - FREE-SURFACE PROBLEMS [J].

NISHIDA, T .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 :S221-S238

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