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).
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页码：483 / 489
页数：7
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