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arXiv 2011.121762020-11-23math.AP

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

Zhaonan Luo, Wei Luo, Zhaoyang Yin

英文摘要：

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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