| Asymptotic Behavior of Solutions to Equations Modelling Non-Newtonian Flows |
| Received:March 17, 2004 |
| Key Words:
asymptotic behavior non-Newtonian flows Fourier splitting.
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| Abstract: |
| This paper is concerned with the system of equations that model incompressible non-Newtonian fluid motion with $p$-growth dissipative potential $1+\frac{2n}{n+2}\leq p<3$ in $R^n$ $(n=2,3)$. Using the improved Fourier splitting method, we prove that a weak solution decays in $L^2$ norm at the same rate as $(1+t)^{-n/4}$ as the time $t$ approaches infinity. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2006.04.008 |
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