论 Lei-Lin-Gevrey 空间中三维分数纳维-斯托克斯-科里奥利方程求解的吹胀准则

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-02 DOI:10.1515/math-2023-0170

Xiaochun Sun, Gaoting Xu, Yulian Wu

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引用次数: 0

摘要

在这篇文章中，我们研究了在初始数据下带科里奥利力的分数纳维-斯托克斯方程的解的存在性，它属于 Lei-Lin-Gevrey 空间。此外，我们还提出了一个炸毁准则，即当最大存在时间 T * {T}^{* } 有限时，我们证明了在特定的 Lei-Lin-Gevrey 空间中，随着时间趋向于最大存在时间，该同一解的常模会趋向于无穷大。

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On a blow-up criterion for solution of 3D fractional Navier-Stokes-Coriolis equations in Lei-Lin-Gevrey spaces

In this article, we researched the existence of the solution to the fractional Navier-Stokes equations with the Coriolis force under initial data, which belong to the Lei-Lin-Gevrey spaces. Moreover, we showed a blow-up criterion, i.e., when the maximal time of existence

T *

{T}^{* }

is finite, we proved that the norm of this same solution, in a specific Lei-Lin-Gevrey space, goes to infinity, as time tends to the maximal time of its existence.

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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.