Magneto-hydrodynamical Model for Plasma
  Based on the Newton's second law and the Maxwell equations for the electromagnetic fields, we establish a new 3D incompressible magneto-hydrodynamics(MHD) equations for the motion of plasma under the standard Coulomb gauge. By using the Galerkin method, we prove a result on the existence of weak solutions for the new model. 
Ruikuan Liu, Jiayan Yang
math.AP