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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2023; 60(3): 587-618

Online first article April 18, 2023      Printed May 1, 2023

https://doi.org/10.4134/JKMS.j220285

Copyright © The Korean Mathematical Society.

Time periodic solution for the compressible magneto-micropolar fluids with external forces in $\mathbb{R}^3$

Qingfang Shi, Xinli Zhang

Qingdao University of Science and Technology; Qingdao University of Science and Technology

Abstract

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In this paper, we consider the existence of time periodic solutions for the compressible magneto-micropolar fluids in the whole space $\mathbb{R}^3$. In particular, we first solve the problem in a sequence of bounded domains by the topological degree theory. Then we obtain the existence of time periodic solutions in $\mathbb{R}^3$ by a limiting process.

Keywords: Time periodic solution, $3D$ compressible magneto-micropolar fluids, energy estimates

MSC numbers: Primary 35Q30, 35Q35, 35B10, 76N10.

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