Nacer Aarach (IMB)
Global well-posedness of 3D homogeneous and inhomogeneous MHD system with small unidirectional derivative
We present the MHD (magnetohydrodynamic) equations. Those equations describe the motion of several conducting, incompressible and immiscible fluids in presence of a magnetic field. We investigate some methods to get well posedness for this system in Besov spaces. Those methods can tackle the homogenuous as well as the inhomogenuous case.