具有流入、流出的线性化三维Euler方程

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-03-27 DOI:10.57262/ade028-0506-373

G. Gie, J. Kelliher, A. Mazzucato

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引用次数: 4

摘要

1983年，Antontsev、Kazhikhov和Monakhov发表了3D Euler方程解的存在性和唯一性的证明，其中在某些流入边界分量上，流体被强迫进入域，而在其他流出分量上，液体被拉出域。他们使用的一个关键工具是涡量形式的线性化欧拉方程。我们将他们关于线性化问题的结果扩展到多个连通域，并在初始数据上建立兼容性条件，以允许更高的正则性解。

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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The linearized 3d Euler equations with inflow, outflow

In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components fluid is forced into the domain while on other outflow components fluid is drawn out of the domain. A key tool they used was the linearized Euler equations in vorticity form. We extend their result on the linearized problem to multiply connected domains and establish compatibility conditions on the initial data that allow higher regularity solutions.

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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.

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