# Global existence and asymptotic behavior of classical solutions for a 3D two-species chemotaxis-Stokes system with competitive kinetics

Source: [Global existence and asymptotic behavior of classical solutions for a 3D two-species chemotaxis-Stokes system with competitive kinetics](<https://www.sota2.com/research/paper/68fa54d61e209131ce98ef52>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T13:13:33.919Z

Authors: Xinru Cao, Shunsuke Kurima, Masaaki Mizukami

Published: 2017-03-06T09:58:09.000Z

## Abstract

This paper considers the two-species chemotaxis-Stokes system with competitive kinetics under homogeneous Neumann boundary conditions in a three-dimensional bounded domain with smooth boundary. Both chemotaxis-fluid systems and two-species chemotaxis systems with competitive terms are studied by many mathematicians. However, there has not been rich results on coupled two-species-fluid systems. Recently, global existence and asymptotic stability in this problem with convection term in the fluid equation of the above system were established in the 2-dimensional case. The purpose of this paper is to give results for global existence, boundedness and stabilization of solutions to this system in the 3-dimensional case.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1703.01794>)

[PDF](<https://arxiv.org/pdf/1703.01794.pdf>)