Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping

AbstractWe first establish the existence of global strong solutions to the 3D inviscid incompressible magneto-micropolar equations with a velocity damping in Sobolev spaces HK(K⩾3), where the H3 norm of initial data is small, but its higher order derivatives could be large. Combining the H˙−s norm (0≤s<32) or B˙2,∞−s norm (0