Global existence theorem for the 3-D generalized micropolar fluid system in critical Fourier-Besov-Morrey spaces with variable exponent

Abstract

In this paper, we consider the 3-D generalized micropolar fluid system in critical Fourier-Besov- Morrey spaces with variable exponent. Using the Littlewood-Paley theory and Banach fixed point theorem we establish the global existence result with the small initial data belonging to F? 4?2??3/p(?)p(?),h(?),q (R3).