44 research outputs found
Low regularity global well-posedness of axisymmetric MHD equations with vertical dissipation and magnetic diffusion
Consideration in this paper is the global well-posedness for the 3D
axisymmetric MHD equations with only vertical dissipation and vertical magnetic
diffusion. The existence of unique low-regularity global solutions of the
system with initial data in Lorentz spaces is established by using higher-order
energy estimates and real interpolation method.Comment: 21 page