Global Solutions of 3D Isentropic Compressible Navier–Stokes Equations with Two Slow Variables

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-02-19 DOI:10.1007/s00021-024-00855-6

NanNan Yang

引用次数: 0

Abstract

Motivated by Lu and Zhang (J Differ Equ 376:406–468, 2023), we prove the global existence of solutions to the three-dimensional isentropic compressible Navier–Stokes equations with smooth initial data slowly varying in two directions. In such a setting, the \(L^2\)-norms of the initial data are of order \(O(\varepsilon ^{-1})\), which are large.

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具有两个慢变量的三维等熵可压缩纳维-斯托克斯方程的全局解决方案

受 Lu 和 Zhang (J Differ Equ 376:406-468, 2023) 的启发，我们证明了光滑初始数据在两个方向上缓慢变化的三维等熵可压缩纳维-斯托克斯方程解的全局存在性。在这种情况下，初始数据的 \(L^2\)-norms 为 \(O(\varepsilon ^{-1})\)阶，是很大的。

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.

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