Analytical solutions to the Navier-Stokes equations for non-Newtonian fluid

被引：3

作者：

Chen Ping ^{[1
]}

Zhang Ting ^{[1
,2
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

[2] Zhejiang Univ, Ctr Math Sci, Hangzhou 310027, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2009年 / 24卷 / 04期

关键词：

blowup solution; pressureless Navier-Stokes equation; non-Newtonian fluid; EULER-POISSON EQUATIONS; BLOWUP SOLUTIONS;

D O I：

10.1007/s11766-009-2173-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The pressureless Navier-Stokes equations for non-Newtonian fluid are studied. The analytical solutions with arbitrary time blowup, in radial symmetry, are constructed in this paper. With the previous results for the analytical blowup solutions of the N-dimensional (N >= 2) Navier-Stokes equations, we extend the similar structure to construct an analytical family of solutions for the pressureless Navier-Stokes equations with a normal viscosity term del center dot(mu(rho)vertical bar del(u) over right arrow vertical bar(alpha)del(u) over right arrow).

引用

页码：483 / 489

页数：7

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