Global well-posedness for the incompressible MHD equations with variable viscosity and conductivity

The well‐posedness of the double‐diffusive convection system in a bounded domain

“…In this paper, we consider the well‐posedness of the initial and boundary value problem for the double‐diffusive convection system . To overcome the difficulties caused by the convection term, we apply a method mentioned in Chen et al and Zhang, by the a priori assumption , we obtain the global uniform a priori estimates of the solution. Then, by the continuous method, we conclude that the a priori assumption holds, which makes the energy estimate closed, finally.…”