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Research Article | Open Access

Global existence of classical solutions for the 2D chemotaxis-fluid system with logistic source

Yina Lin1, Qian Zhang1( ), Meng Zhou2
Hebei Key Laboratory of Machine Learning and Computational Intelligence, School of Mathematics and Information Science, Hebei University, Baoding, 071002, China
Department of Software, Hebei Software Institute, Baoding, 071000, China
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Abstract

In this paper, we consider the incompressible chemotaxis-Navier-Stokes equations with logistic source in spatial dimension two. We first show a blow-up criterion and then establish the global existence of classical solutions to the system for the Cauchy problem under some rough conditions on the initial data.

Keywords

chemotaxisNavier-Stokesblow-upclassical solutionsCauchy problem
CLC number: 35K55, 35Q92, 35Q35, 92C17

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AIMS Mathematics
Volume 7 Issue 4,
April 2022
Pages 7212-7233
DOI: 10.3934/math.2022403

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Cite this article:
Lin Y, Zhang Q, Zhou M. Global existence of classical solutions for the 2D chemotaxis-fluid system with logistic source. AIMS Mathematics, 2022, 7(4): 7212-7233. https://doi.org/10.3934/math.2022403

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Received: 12 December 2021
Revised: 17 January 2022
Accepted: 25 January 2022
Published: 15 April 2022
©2022 the Author(s), licensee AIMS Press.

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