趋化-浅水系统周期域的时间周期解

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/eect.2022044

Qingfang Shi, Xinli Zhang

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引用次数: 1

摘要

本文在周期域上分析了趋化-浅水系统时间周期解的存在唯一性。在外力较小且对称的假设下，利用抛物正则化方法和极限过程证明了周期解的存在性。通过能量估计证明了周期解的唯一性。

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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Time periodic solution to chemotaxis-shallow water system in a periodic domain

In this paper, we analyse the existence and uniqueness of a time-periodic solution to chemotaxis-shallow water system in a periodic domain. Under the assumption of some smallness and symmetric external force, the existence of periodic solution is established using the method of parabolic regularization and limit process. The uniqueness of the periodic solution is proved by energy estimates.

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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.

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