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Research Article | Open Access

Time periodic solution to a two-species chemotaxis-Stokes system with porous medium diffusion

College of Mathematics, Changchun Normal University, Changchun 130032, China
Information Engineering University, Zhengzhou 450001, China
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Abstract

In this paper, we considered a two-species chemotaxis-Stokes system with porous medium diffusion Δ n 1 m in two-dimensional smooth bounded domains. We proved the existence of a time periodic solution for any m ≥ 6 5 and any large periodic sources g 1 ( x , t ) and g 2 ( x , t ).

Keywords

two-species chemotaxis-Stokes systemtime periodic solutiondouble-level approximation

References

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Electronic Research Archive
Volume 33 Issue 8,
August 2025
Pages 4984-5021
DOI: 10.3934/era.2025224

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Cite this article:
Tang H, Du C. Time periodic solution to a two-species chemotaxis-Stokes system with porous medium diffusion. Electronic Research Archive, 2025, 33(8): 4984-5021. https://doi.org/10.3934/era.2025224

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Received: 26 May 2025
Revised: 09 August 2025
Accepted: 13 August 2025
Published: 25 August 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)