We study the magnetohydrodynamics system, generalized via a fractional Laplacian. When the domain is in N-dimension, N being three, four or ve, we show that the regularity criteria of its solution pair may be reduced to (N - 1) many velocity eld components with the improved integrability condition in comparison to the result in . Furthermore, we extend this result to the three-dimensional magneto-micropolar fluid system.
- Fractional laplacians
- Magneto-micropolar fluid system
- Magnetohydrodynamics system
- Navier-stokes equations