Local existence for the d‐dimensional magneto‐micropolar equations with fractional dissipation in Besov spaces

Abstract

In this paper, we consider the Cauchy problem of the d-dimensional magnetomicropolar equations (d = 2 or d = 3) with general fractional dissipation. The aim of this paper is to obtain the existence and uniqueness of solutions in the weakest possible inhomogeneous Besov spaces. Using the technical tools of Litttlewood-Paley decomposition and Besov spaces theory, we obtain the local existence in the functional setting of inhomogeneous Besov spaces. Furthermore, such solutions are unique only in 2D case.