Keller-Segel方程测度解的非爆炸性的一个简单证明

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-02-07 DOI:10.3934/krm.2022026

N. Fournier, Yoan Tardy

引用次数: 3

摘要

We give a simple proof, relying on a two-particles moment computation, that there exists a global weak solution to the \begin{document}$ 2 $\end{document}-dimensional parabolic-elliptic Keller-Segel equation when starting from any initial measure \begin{document}$ f_0 $\end{document} such that \begin{document}$ f_0( {\mathbb{R}}^2)< 8 \pi $\end{document}.

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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A simple proof of non-explosion for measure solutions of the Keller-Segel equation

We give a simple proof, relying on a two-particles moment computation, that there exists a global weak solution to the \begin{document}$ 2 $\end{document}-dimensional parabolic-elliptic Keller-Segel equation when starting from any initial measure \begin{document}$ f_0 $\end{document} such that \begin{document}$ f_0( {\mathbb{R}}^2)< 8 \pi $\end{document}.

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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.