Global existence of perturbed Navier–Stokes system around Landau solutions with slowly decaying oscillation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-01 DOI:10.4310/cms.2024.v22.n2.a10

Jiayan Wu, Cuili Zhai, Jingjing Zhang, Ting Zhang

引用次数: 0

Abstract

In this paper, we consider the perturbed Navier–Stokes system around the Landau solutions. Using the energy method and the continuation method, we show the global existence of the $L^2$ local energy solution for the perturbed Navier–Stokes system with the oscillation decay initial data $v_0 \in E^2_{\sigma} + L^3_{\operatorname{uloc}} \,$.

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具有缓慢衰减振荡的朗道解周围扰动纳维-斯托克斯系统的全局存在性

本文考虑了围绕朗道解的扰动纳维-斯托克斯系统。利用能量法和延续法，我们证明了具有振荡衰减初始数据 $v_0 \in E^2_{\sigma} + L^3_{\operatorname{uloc}} 的扰动纳维-斯托克斯系统的 $L^2$ 局域能量解的全局存在性。\,$.

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.