Magnetohydrodynamics approximation of the compressible full magneto- micropolar system

Abstract

In this paper, we will use the Banach fixed point theorem to prove the uniform-in-ϵ existence of the compressible full magneto-micropolar system in a bounded smooth domain, where ϵ is the dielectric constant. Consequently, the limit as ϵ→0 can be established. This approximation is usually referred to as the magnetohydrodynamics approximation and is equivalent to the neglect of the displacement current.

Keywords

• magneto micropolar
• uniform existence
• dielectric constant