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Blowup criterion for the Cauchy problem of 2D compressible viscous micropolar fluids with vacuum
AIMS Mathematics 2024, 9(9): 25956-25965
Published: 15 September 2024
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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 ρL(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.

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