The paper is concerned with the homogenization of a nonlinear differential system describing flow an electrically conducting, incompressible and viscous Newtonian fluid through periodic porous medium, in presence magnetic field. We introduce variational formulation equipped boundary conditions. show existence solution problem, derive uniform estimates solutions depending on characteristic param...

Spherical (nonrotating) accretion flows with small-scale magnetic fields have been investigated using three-dimensional, time-dependent MHD simulations. These simulations have been designed to model high-resolution (quasi) steady accretion flows in a wedge computational domain that represents a small fraction of the full spherical domain. Subsonic and supersonic (super-fast-magnetosonic) accret...