Global existence and boundedness in a two-species chemotaxis-fluid system with indirect pursuit-evasion interaction

IF 1.4 4区数学 Q2 MATHEMATICS, APPLIED

IMA Journal of Applied Mathematics Pub Date : 2024-03-03 DOI:10.1093/imamat/hxae009

Chao Liu, Bin Liu

引用次数: 0

Abstract

This paper investigates a two-species chemotaxis-fluid system with indirect pursuit-evasion interaction in a bounded domain with smooth boundary. Under suitably regular initial data and no-flux/no-flux/no-flux/no-flux/Dirichlet boundary conditions, we prove that the system possesses a global bounded classical solution in the two-dimensional and three-dimensional cases. Our results extend the result obtained in previously known ones and partly result is new.

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具有间接追逐-逃避相互作用的双物种趋化-流体系统的全局存在性和有界性

本文研究了在光滑边界有界域中具有间接追逐-逃避相互作用的双物种趋化-流体系统。在适当规则的初始数据和无流/无流/无流/无流/Dirichlet边界条件下，我们证明了该系统在二维和三维情况下具有全局有界经典解。我们的结果扩展了之前已知的结果，部分结果是新的。

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

IMA Journal of Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

24 months

期刊介绍： The IMA Journal of Applied Mathematics is a direct successor of the Journal of the Institute of Mathematics and its Applications which was started in 1965. It is an interdisciplinary journal that publishes research on mathematics arising in the physical sciences and engineering as well as suitable articles in the life sciences, social sciences, and finance. Submissions should address interesting and challenging mathematical problems arising in applications. A good balance between the development of the application(s) and the analysis is expected. Papers that either use established methods to address solved problems or that present analysis in the absence of applications will not be considered. The journal welcomes submissions in many research areas. Examples are: continuum mechanics materials science and elasticity, including boundary layer theory, combustion, complex flows and soft matter, electrohydrodynamics and magnetohydrodynamics, geophysical flows, granular flows, interfacial and free surface flows, vortex dynamics; elasticity theory; linear and nonlinear wave propagation, nonlinear optics and photonics; inverse problems; applied dynamical systems and nonlinear systems; mathematical physics; stochastic differential equations and stochastic dynamics; network science; industrial applications.