Electron. J. Differential Equations, Vol. 2023 (2023), No. 86, pp. 1-33.

Global low-energy weak solutions for compressible magneto-micropolar fluids with discontinuous initial data in R^3

Wanping Wu, Yinghui Zhang

This article concerns the weak solutions of a 3D Cauchy problem of compressible magneto-micropolar fluids with discontinuous initial data. Under the assumption that the initial data are of small energy and the initial density is positive and essentially bounded, we establish the existence of weak solutions that are global-in-time. Moreover, we obtain the large-time behavior of such solutions.

Submitted June 12, 2023. Published December 20, 2023.
Math Subject Classifications: 35Q35, 35B40,76N10.
Key Words: Magneto-micropolar fluids; weak solutions; global-in-time existence; low-energy.
DOI: 10.58997/ejde.2023.86

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Wanping Wu
School of Mathematics and statistics
Guangxi Normal University, Guilin
Guangxi 541004, China
email: wanpingwu123@163.com
Yinghui Zhang
School of Mathematics and Statistics
Guangxi Normal University
Guilin, Guangxi 541004, China
email: yinghuizhang@mailbox.gxnu.edu.cn

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