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.