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