Lower Bounds on Blow-up of Solutions for Magneto-Micropolar Fluid Systems in Homogeneous Sobolev Spaces

Abstract

We obtain lower bounds on blow-up of solutions for the 3D magneto-micropolar equations. More precisely, we establish some estimates for the solution (u,w,b)(t)$(\mathbf{u},\mathbf{w},\mathbf{b}) (t)$ in its maximal interval [0,Tź)$[0,T^{*})$ provided that Tź 3/2$.