Existence and time asymptotic profiles of weak solutions to the nonhomogeneous magneto-micropolar equations

This paper studies the existence and decay estimates of weak solutions to the 3D nonhomogeneous magneto-micropolar equations. First, the global existence of weak solutions are obtained. Then, we derive the L2$$ {L} circumflex 2 $$ and H1$$ {H} circumflex 1 $$ decay rates of weak solutions (u,w,b)$$ \left(u,w,b\right) $$. Finally, the H2$$ {H} circumflex 2 $$ decay rates of magnetic field b$$ b $$ is obtained.

Automated summary

This paper studies the existence and decay estimates of weak solutions to the 3D nonhomogeneous magneto-micropolar equations. Global existence of weak solutions is obtained, followed by the derivation of L2 and H1 decay rates for the weak solutions (u,w,b). Additionally, the H2 decay rate of the magnetic field b is obtained.