论文标题

在平衡附近的聚合物流的Fene Dumbbell模型的巨大时间行为

Large time behavior to the FENE dumbbell model of polymeric flows near equilibrium

论文作者

Luo, Zhaonan, Luo, Wei, Yin, Zhaoyang

论文摘要

在本文中,我们主要研究有限的可扩展非线性弹性(Fene)哑铃模型的强溶液的大量时间行为。共同旋转模型的$ l^2 $衰减率有很多结果。在本文中,我们考虑了总体情况。我们证明,带有$ d \ geq 2 $的最佳$ l^2 $衰减率为$(1+t)^{ - \ frac {d} {4}} $。此结果改善了先前的结果\ cite {luo-y​​in}。

In this paper we mainly study large time behavior for the strong solutions of the finite extensible nonlinear elastic (FENE) dumbbell model. There is a lot results about the $L^2$ decay rate of the co-rotation model. In this paper, we consider the general case. We prove that the optimal $L^2$ decay rate of the velocity is $(1+t)^{-\frac{d}{4}}$ with $d\geq 2$. This result improves the previous result in \cite{Luo-Yin}.

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