The Optimal ${{\varvec{L}}^2}$ Decay Rate of the Velocity for the General FENE Dumbbell Model

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-05-23 DOI:10.1007/s00021-024-00880-5

Zhaonan Luo, Wei Luo, Zhaoyang Yin

引用次数: 0

Abstract

In this paper we mainly study large time behavior for the strong solutions of the finite extensible nonlinear elastic (FENE) dumbbell model. The sharp $L^2$ decay rate was obtained on the co-rotational case. We prove that the optimal $L^2$ decay rate of the velocity of the general FENE dumbbell model is $(1+t)^{-\frac{d}{4}}$ with $d\ge 2$. Our obtained result is sharp and improves considerably the previous result in Luo and Yin (Arch Ration Mech Anal 224(1):209–231, 2017).

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一般 FENE 哑铃模型的最优 ${{\varvec{L}}^2}$ 速度衰减率

本文主要研究了有限可伸展非线性弹性（FENE）哑铃模型强解的大时间行为。在共旋转情况下，我们得到了尖锐的 $L^2$ 衰变率。我们证明了一般FENE哑铃模型速度的最优$L^2$衰减率是$(1+t)^{-\frac{d}{4}}$，且$d\ge 2$。我们得到的结果很尖锐，大大改进了Luo和Yin（Arch Ration Mech Anal 224(1):209-231, 2017）之前的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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The Optimal \({{\varvec{L}}^2}\) Decay Rate of the Velocity for the General FENE Dumbbell Model

Abstract