Global Existence of Solutions to Cauchy Problem for Non-isentropic Compressible Navier-Stokes-Maxwell Systems

This paper is concerned with non-isentropic compressible Navier-Stokes-Maxwell systems arising from viscosity plasmas. By using techniques of symmetrizer and the smallness of non-constant steady-state solutions, the global existence of solutions to Cauchy problems with prepared initial data was investigated. It is shown that this problem admits globally smooth solutions near a non-constant steady state.