New Liouville-type theorems for stationary solutions of the equations of motion of a magneto-micropolar fluid

We establish new Liouville-type theorems for smooth stationary solutions of the system of equations governing the motion of a magneto-micropolar fluid in $R^3$. Theorem 1 imposes conditions on the growth of the averaged oscillations of the potentials of the velocity u, the angular rotation w of fluid particles, and the magnetic field b. Theorem 2 imposes conditions on the rate of spatial growth of u, w, and b. As a direct consequence of Theorem 2, we obtain Theorem 3, where we assume that u, w, and b are integrable over $R^3$ with exponents satisfying relatively weak restrictions.