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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