Well-posedness and attractors of the multi-dimensional hyperviscous magnetohydrodynamic equations

The multi-dimensional hyperviscous magnetohydrodynamic equations are considered in this paper. The well-posedness of the multi-dimensional hyperviscous magnetohydrodynamic equations is proved. Global attractor of the multi-dimensional hyperviscous magnetohydrodynamic equations is proved in H1/2+n/4 * H1/2+n/4 and H1+n/2 * H1+n/2.