Homogeneous Statistical Solutions of the Magnetohydrodynamics Equations

We prove the existence of homogeneous statistical solutions of the magnetohydrodynamics equation in Rn, ns2 or 3. We first established the existence in the periodic domain and later passed the period to infinity, using the compactness argument similar to Foias and Temam’s construction of the homogeneous solution in the Navier]Stokes equations