Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 125, pp. 1-13.

Title: Decay of solutions to equations modelling incompressible bipolar
       non-newtonian fluids
       
Author: Bo-Qing Dong  (Nankai Univ., China)

Abstract: 
 This article concerns  systems of equations
 that model incompressible bipolar non-Newtonian fluid motion
 in  the whole space $\mathbb{R}^n$.  Using the  improved Fourier
 splitting method,  we prove that  a  weak solution decays in
 the $L^2$ norm at the same rate as  $(1+t)^{-n/4}$ as the time
 $t$ approaches infinity.
 Also we obtain optimal $L^2$ error-estimates for Newtonian
 and  Non-Newtonian flows.
 
Submitted March 28, 2005. Published November 7, 2005.
Math Subject Classifications: 35B40, 35Q35, 76A05.
Key Words: Decay; bipolar non-Newtonian fluids; 
           Fourier splitting method.