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 H12+n4×H12+n4 and H1+n2×H1+n2.