Global small solutions to a special $2\frac{1}{2}$-D compressible viscous non-resistive MHD system

Boqing Dong, Jiahong Wu, Xiaoping Zhai

This paper solves the global well-posedness and stability problem on a special $2\frac{1}{2}$-D compressible viscous non-resistive MHD system near a steady-state solution. The steady-s…