论自由界面下流体与结构相互作用问题解的局部存在性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-11-06 DOI:10.1007/s00245-024-10195-6

Igor Kukavica, Linfeng Li, Amjad Tuffaha

引用次数: 0

摘要

我们讨论了模拟不可压缩流体与弹性体相互作用的方程组。我们证明了当初始速度属于(H^{1.5+\epsilon }\) 空间且初始结构速度在(H^{1+\epsilon }\) 中时的局部存在性，其中\(\epsilon \ in (0, 1/20)\).

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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On the Local Existence of Solutions to the Fluid–Structure Interaction Problem with a Free Interface

We address a system of equations modeling an incompressible fluid interacting with an elastic body. We prove the local existence when the initial velocity belongs to the space \(H^{1.5+\epsilon }\) and the initial structure velocity is in \(H^{1+\epsilon }\), where \(\epsilon \in (0, 1/20)\).

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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.