Large-time behavior of solutions to the compressible non-isentropic Euler–Maxwell system in [formula omitted

Abstract

We first refine the global existence of solutions by assuming that the initial data is small in the H3 norm but the higher order derivatives could be large. If further the initial data belongs to Ḣ−s (0≤s<3/2) or Ḃ2,∞−s (0<s≤3/2), we obtain the various decay rates of the solution and its higher order derivatives. In particular, the decay rates of the density and temperature of electron could reach to (1+t)−134 in L2 norm.