关于带阻尼粘弹性流体系统的内部正则准则

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-24 DOI:10.1515/acv-2023-0107

Gaocheng Yue, Zixuan Pang, Yangyang Wu

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引用次数: 0

摘要

我们考虑了一个带有阻尼机制的粘弹性流体模型的 PDEs 系统。在ℝ 3 {\mathbb{R}^{3}} 中，我们构建了一些新的局部能量边界，从而改进了几种ϵ正则准则。中，我们构建了一些新的局部能量边界，从而改进了该系统弱解的 Caffarelli-Kohn-Nirenberg 定理的几个ϵ正则准则。

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On the interior regularity criteria for the viscoelastic fluid system with damping

We consider a system of PDEs that model a viscoelastic fluid with damping mechanism. In ℝ 3 {\mathbb{R}^{3}} , we construct some new local energy bounds that enable us to improve several ϵ-regularity criteria for the Caffarelli–Kohn–Nirenberg theorem for weak solutions of this system.

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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.