Global well-posedness of the full compressible Hall-MHD equations

Abstract

This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.

Keywords

• full compressible hall-mhd equations
• global existence
• large time behavior
• 35a01
• 35q35
• 76w05