Remarks on the global smooth solution of the 3D generalized magneto‐micropolar equations.

This paper is concerned with the global smooth solution of the 3D generalized magneto‐micropolar equations. When the velocity dissipation is logarithmically hyperdissipative and the magnetic diffusion is fractional Laplacian, based on some new observations on the nonlinear structure for the magneto‐micropolar equations, it is examined the system has a unique global smooth solution (u,w,b)∈C([0,T];Hs(ℝ3))$$ \left(u,w,b\right)\in C\left(\left[0,T\right];{H}^s\left({\mathrm{\mathbb{R}}}^3\right)\right) $$. [ABSTRACT FROM AUTHOR]