This article concerns systems of equations that model incompressible bipolar non-Newtonian fluid motion in the whole space . Using the improved Fourier splitting method, we prove that a weak solution decays in the norm at the same rate as as the time approaches infinity. Also we obtain optimal 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.
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| Bo-Qing Dong |
School of Mathematical Sciences
Tianjin 300071, China
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