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Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum

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Abstract

This paper concerns the local well-posedness of barotropic compressible magneto-micropolar fluid equations with initial density containing vacuum states. We prove local existence and uniqueness of strong solutions in bounded domains or the whole space \(\mathbb {R}^3\). In particular, there is no need to require compatibility condition on the initial data with the help of time weighted estimates.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People’s Republic of China

    Qingmei Xu & Xin Zhong

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  1. Qingmei Xu
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  2. Xin Zhong
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Correspondence to Xin Zhong.

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Q. Xu was partially supported by Postgraduate Research and Innovation Project of Chongqing (No. CYS20100). X. Zhong was partially supported by National Natural Science Foundation of China (Nos. 11901474, 12071359), the Chongqing Talent Plan for Young Topnotch Talents (No. CQYC202005074), and the Innovation Support Program for Chongqing Overseas Returnees (No. cx2020082)

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Xu, Q., Zhong, X. Strong solutions to the three-dimensional barotropic compressible magneto-micropolar fluid equations with vacuum. Z. Angew. Math. Phys. 73, 14 (2022). https://doi.org/10.1007/s00033-021-01642-3

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