We study the two-dimensional generalized Lans alpha magnetohydrodynamics system. We show that the solution pairs of velocity and magnetic fields to this system preserve their initial regularity in two cases: dissipation logarithmically weaker than a full Laplacian and zero diffusion, zero dissipation and diffusion logarithmically weaker than a full Laplacian.
|Number of pages||15|
|Journal||Journal of Mathematical Analysis and Applications|
|State||Published - May 1 2015|
- Besov spaces
- Global regularity
- Magnetohydrodynamics system
- Navier-Stokes equations