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

IF 1.3 4区数学 Q1 MATHEMATICS

Evolution Equations and Control Theory Pub Date : 2022-01-01 DOI:10.3934/eect.2022044

Qingfang Shi, Xinli Zhang

引用次数: 1

Abstract

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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趋化-浅水系统周期域的时间周期解

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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来源期刊

Evolution Equations and Control Theory MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.10

自引率

6.70%

发文量

期刊介绍： EECT is primarily devoted to papers on analysis and control of infinite dimensional systems with emphasis on applications to PDE''s and FDEs. Topics include: * Modeling of physical systems as infinite-dimensional processes * Direct problems such as existence, regularity and well-posedness * Stability, long-time behavior and associated dynamical attractors * Indirect problems such as exact controllability, reachability theory and inverse problems * Optimization - including shape optimization - optimal control, game theory and calculus of variations * Well-posedness, stability and control of coupled systems with an interface. Free boundary problems and problems with moving interface(s) * Applications of the theory to physics, chemistry, engineering, economics, medicine and biology