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Research Article | Open Access

Blowup criterion for the Cauchy problem of 2D compressible viscous micropolar fluids with vacuum

Dayong Huang( ), Guoliang Hou
College of Mathematics, Changchun Normal University, Changchun, China
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Abstract

In this study, we establish a regular criterion for the 2D compressible micropolar viscous fluids with vacuum that is independent of the velocity of rotation of the microscopic particles. Specifically, we show that if the density verifies ‖ρ‖L∞(0,T;L∞)<∞, then the strong solution will exist globally on R2×(0,T). Consequently, we generalize the results of Zhong (Discrete Contin. Dyn. Syst. Ser. B, 25 (2020), no. 12, 4603–4615) to the compressible case. In particular, we don't need the additional compatibility condition.

Keywords

compressible micropolar fluidsstrong solutionsvacuumCauchy problemblowup criterion
CLC number: 76N10, 35Q35, 35B40, 35D35

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 25956-25965
DOI: 10.3934/math.20241268

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Cite this article:
Huang D, Hou G. Blowup criterion for the Cauchy problem of 2D compressible viscous micropolar fluids with vacuum. AIMS Mathematics, 2024, 9(9): 25956-25965. https://doi.org/10.3934/math.20241268

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Received: 19 July 2024
Revised: 29 August 2024
Accepted: 03 September 2024
Published: 15 September 2024
©2024 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)