Incompressible limit for the compressible micropolar fluids in critical space

In this paper, we are concerned with the compressible micropolar fluid system in the critical Besov space. We will focus on the incompressible limit for volume viscosity λ → ∞, which is based on the results for the additional assumption that the strong solution of classical incompressible micropolar equations is global, supplemented with the divergence free projection of v0. The proof relies on the damping property of the linear system on the high-frequency regime and the parabolic property on the low-frequency regime.