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

Autor: Dayong Huang, Guoliang Hou
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 9, Pp 25956-25965 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241268?viewType=HTML
Popis: 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 $ \|\rho\|_{L^\infty(0, T; L^\infty)} < \infty $, then the strong solution will exist globally on $ \Bbb R^2\times(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.
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