具有Robin边界条件的趋化模型的边界层问题

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3934/dcds.2023108

Qianqian Hou

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引用次数: 0

摘要

本文研究了模拟流体中好氧细菌边界层形成的趋化系统的边界层问题。对氧具有robin型物理边界条件，对细菌具有无通量边界条件，在具有边界层效应的两个同心球体之间的区域，当氧扩散速率$ \varepsilon $趋近于零，边界层厚度为$ \mathcal{O}(\varepsilon^\alpha) $阶与$ 0<\alpha<\frac{1}{2} $阶时，其径向解的梯度。

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Boundary layer problem on the chemotaxis model with Robin boundary conditions

This paper is concerned with the boundary layer problem on a chemotaxis system modelling boundary layer formation of aerobic bacteria in fluid. Completing the system with physical Robin-type boundary conditions for oxygen and no-flux boundary conditions for bacteria, we show that the gradients of its radial solutions in a region between two concentric spheres possessing boundary layer effects as the oxygen diffusion rate $ \varepsilon $ goes to zero and the boundary-layer thickness is of order $ \mathcal{O}(\varepsilon^\alpha) $ with $ 0<\alpha<\frac{1}{2} $.

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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.