### AIMS Mathematics

2022, Issue 9: 16037-16053. doi: 10.3934/math.2022878
Research article

# Magnetohydrodynamics approximation of the compressible full magneto- micropolar system

• Received: 23 May 2022 Revised: 14 June 2022 Accepted: 20 June 2022 Published: 30 June 2022
• MSC : 35B25, 35Q60, 76W05

• In this paper, we will use the Banach fixed point theorem to prove the uniform-in-$\epsilon$ existence of the compressible full magneto-micropolar system in a bounded smooth domain, where $\epsilon$ is the dielectric constant. Consequently, the limit as $\epsilon\rightarrow0$ can be established. This approximation is usually referred to as the magnetohydrodynamics approximation and is equivalent to the neglect of the displacement current.

Citation: Jishan Fan, Tohru Ozawa. Magnetohydrodynamics approximation of the compressible full magneto- micropolar system[J]. AIMS Mathematics, 2022, 7(9): 16037-16053. doi: 10.3934/math.2022878

### Related Papers:

• In this paper, we will use the Banach fixed point theorem to prove the uniform-in-$\epsilon$ existence of the compressible full magneto-micropolar system in a bounded smooth domain, where $\epsilon$ is the dielectric constant. Consequently, the limit as $\epsilon\rightarrow0$ can be established. This approximation is usually referred to as the magnetohydrodynamics approximation and is equivalent to the neglect of the displacement current.

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