Green’s Function And Large Time Behavior Of The Compressible Navier-Stokes-Maxwell System

The isentropic compressible Navier-Stokes-Maxwell system are studied in this thesis. First, the time decay property of the linearized homogeneous system is ana-lyzed. Next, the Green’s function of the linearized homogeneous system is obtained. Third, the unique global solution is established for sufficient small data. Moreover, the optimal time decay rate of the solution is also given.