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

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics 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

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.

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

Abstract