Well-posedness Problems Of Two Kinds Of MHD Equations

The paper mainly studies the properties of the solution of the magnetohydrodynamic equations and discusses the regularization discrimination of the weak solution of the velocity and magnetic field component of the classical magnetohydrodynamic equation in Lorentz space,then we also obtain the low regularity criteria of the generalized 3D incompressible MHD-? in the Sobolev space.The structure of the paper is as follows:In the first chapter,the development of the properties of solution of magnetohydrodynamic equations,background and results are introduced.In the second chapter,we discuss the regularity criteria of weak solution of the generalized 3D incompressible magnetohydrodynamic equations via gradient velocity,velocity component and magnetic field component in Lorentz space.In the third chapter,we consider the general three dimensional incompressible MHD-? equa-tions in detail.