Global regularity of the two-dimensional incompressible generalized magnetohydrodynamics system (Q2442738)

It is shown that the generalized incompressible MHD equations -- where the velocity dissipation exponent (of the Navier-Stokes member) is greater than or equal to \(\frac14\) -- admit a globally regular solution. (The word ``generalized'' here simply means that the authors consider the problem in a broader view where the Navier-Stokes member an the magnetic diffusion exponent may have values that differ from the usual ones in customary MHD).