Long term spatial homogeneity for a chemotaxis model with local sensing and consumption

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-09-22 DOI:10.4310/cms.2023.v21.n6.a14

Philippe Laurençot

引用次数: 3

Abstract

Global weak solutions to a chemotaxis model with local sensing and consumption are shown to converge to spatially homogeneous steady states in the large time limit, when the motility is assumed to be positive and $C^1$-smooth on $[0,\infty)$. The result is valid in arbitrary space dimension $n \geq1$ and extends a previous result which only deals with space dimensions $n \in {\lbrace 1,2,3 \rbrace}$.

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具有局部感知和消耗的趋化性模型的长期空间同质性

具有局部感知和消耗的趋化性模型的全局弱解在大时间限制下收敛到空间均匀稳态，当运动假设为正且$[0,\infty)$上$C^1$ -光滑时。该结果适用于任意空间维度$n \geq1$，并扩展了先前仅处理空间维度$n \in {\lbrace 1,2,3 \rbrace}$的结果。

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.