Exponential attractor for a planar shear-thinning flow

被引：2
|
作者：
Prazak, Dalibor [1 ]
机构：
[1] Charles Univ Prague, Dept Math Anal, Prague 18675 8, Czech Republic
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2007年 / 30卷 / 17期
关键词：
exponential attractor; fractal dimension; non-Newtonian fluids;
D O I：
10.1002/mma.885
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the dynamics of an incompressible, homogeneous fluid of a power-law type, with the stress tensor T = nu(1 + mu|D nu|)Dp-2 nu, where D nu is a symmetric velocity gradient. We consider the two-dimensional problem with periodic boundary conditions and p epsilon (1, 2). Under these assumptions, we estimate the fractal dimension of the exponential attractor, using the so-called method of l-trajectories. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码：2197 / 2214
页数：18
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