Decay characterization of solutions to incompressible Navier–Stokes–Voigt equations

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-03-07 DOI:10.3233/asy-241900

Jitao Liu, Shasha Wang, Wen-Qing Xu

引用次数: 0

Abstract

Recently, Niche [J. Differential Equations, 260 (2016), 4440–4453] established upper bounds on the decay rates of solutions to the 3D incompressible Navier–Stokes–Voigt equations in terms of the decay character r∗ of the initial data in H1(R3). Motivated by this work, we focus on characterizing thelarge-time behavior of all space-time derivatives of the solutions for the 2D case and establish upper bounds and lower bounds on their decay rates by making use of the decay character and Fourier splitting methods. In particular, for the case −n2<r∗⩽1, we verify the optimality of the upper bounds, which is new to the best of our knowledge. Similar improved decay results are also true for the 3D case.

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不可压缩 Navier-Stokes-Voigt 方程解的衰减特征

最近，Niche [J. Differential Equations, 260 (2016), 4440-4453]根据H1(R3)中初始数据的衰变特征r∗，建立了三维不可压缩纳维-斯托克斯-沃伊特方程解的衰变率上界。在这项工作的激励下，我们重点研究了二维情况下解的所有时空导数的大时间行为特征，并利用衰变特性和傅里叶分裂方法建立了它们的衰变率上限和下限。特别是在-n2<r∗⩽1情况下，我们验证了上界的最优性，这是我们所知的新情况。类似的改进衰减结果也适用于三维情况。

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

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.