具有局部感知和消耗的趋化性模型的长期空间同质性

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Communications in Mathematical Sciences Pub Date : 2023-09-22 DOI:10.4310/cms.2023.v21.n6.a14

Philippe Laurençot

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引用次数: 3

摘要

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。

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

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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来源期刊

Communications in Mathematical Sciences 数学-应用数学

CiteScore

1.70

自引率

10.00%

发文量

审稿时长

6 months

期刊介绍： Covers modern applied mathematics in the fields of modeling, applied and stochastic analyses and numerical computations—on problems that arise in physical, biological, engineering, and financial applications. The journal publishes high-quality, original research articles, reviews, and expository papers.