Abstract
This paper is devoted to study the combined relaxation and non-relativistic limit of non-isentropic Euler–Maxwell equations with relaxation for semiconductors and plasmas. We prove that, as the relaxation time tends to zero and the light speed tends to infinite, periodic initial-value problem of a certain scaled non-isentropic Euler–Maxwell equations has unique smooth solution existing in the time interval where the corresponding classical driftdiffusion model has smooth solutions. It is shown that the relaxation regime plays a decisive role in the combined limit. Furthermore, the corresponding convergence rate is obtained.
Acknowledgments
The author would like to thank the referees for useful comments to improve the presentation of this paper.