Global well-posedness for the three dimensional compressible micropolar equations

Abstract

In this paper, we study the Cauchy problem of the three-dimensional compressible micropolar equations in the absence of heat-conductivity. By leveraging Fourier theory and employing a refined energy method, we establish the global well-posedness of the equations for small initial data within Besov spaces. As a byproduct, we also derive the optimal time decay of solutions if the low frequency of initial data belonging to ${\dot{B}}_{2,\infty }^{-{\sigma }_1}\left(R^3\right)$.