Global relaxation and nonrelativistic limit of nonisentropic Euler‐Maxwell systems

Abstract

The aim of this paper is to investigate smooth solutions to Cauchy (or periodic) problem for a nonisentropic Euler-Maxwell system with small parameters.For initial data close to constant equilibrium states, we prove the global-in-time convergence of the Euler-Maxwell system as parameters go to zero. The limit systems are the drift-diffusion system and the nonisentropic Euler-Poisson system, respectively. KEYWORDScompactness and convergence, energy estimate, nonisentropic Euler-Maxwell system, uniform global-in-time smooth solution MSC CLASSIFICATION 35B40; 35L60Math Meth Appl Sci. 2020;43:5692-5707. wileyonlinelibrary.com/journal/mma