Pullback attractors for a non-autonomous incompressible non-Newtonian fluid
Pullback attractors for a non-autonomous incompressible non-Newtonian fluid
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DOI：
10.1016/j.jde.2007.04.001
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发表时间：
2007-07
影响因子：
2.4
通讯作者：
Caidi Zhao;Shengfan Zhou
中科院分区：
文献类型：
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作者：
Caidi Zhao;Shengfan Zhou
研究了二维有界区域中一类非自治不可压缩非牛顿流体解的拉回渐近性态。首先证明了对应于流体解的上循环在空间V（具有H ~ 2正则性，见第2节中的符号）和空间H（具有L ~ 2正则性）中存在拉回吸引子AV.然后，我们验证的拉回吸引子的规律性，显示AV=AH，这意味着拉回渐近平滑效果的流体在这个意义上的解决方案最终变得比初始数据更规则。
This paper studies the pullback asymptotic behavior of solutions for a non-autonomous incompressible non-Newtonian fluid in two-dimensional (2D) bounded domains. We first prove the existence of pullback attractors AVin space V (has H2-regularity, see notation in Section 2) and AHin space H (has L2-regularity) for the cocycle corresponding to the solutions of the fluid. Then we verify the regularity of the pullback attractors by showing AV=AH, which implies the pullback asymptotic smoothing effect of the fluid in the sense that the solutions become eventually more regular than the initial data.