| 殷谷良,董柏青.一类非牛顿流体模型解的渐近性态(英)[J].数学研究及应用,2006,26(4):699~707 |
| 一类非牛顿流体模型解的渐近性态(英) |
| Asymptotic Behavior of Solutions to Equations Modelling Non-Newtonian Flows |
| 投稿时间：2004-03-17 |
| DOI：10.3770/j.issn:1000-341X.2006.04.008 |
| 中文关键词: 渐进性态 非牛顿流体 Fourier 分解. |
| 英文关键词:asymptotic behavior non-Newtonian flows Fourier splitting. |
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| 中文摘要: |
| 本文主要讨论一类带 $p \,\,( 1+\frac{2n}{n+2} \leq p<3 )\,$ 幂增长耗散位势的非牛顿流体模型解的渐近性态, 利用改进的 Fourier分解方法, 证明了其解在$L^2$ 范数下衰减率为 $(1+t)^{-\frac{n}{4}}$. |
| 英文摘要: |
| 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. |
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