Stability of non-constant steady-state solutions for non-isentropic Euler-Maxwell system with a temperature damping term

作者：Feng, Yue-Hong^*; Wang, Shu; Li, Xin

来源：Mathematical Methods in the Applied Sciences, 2016, 39(10): 2514-2528.

DOI：10.1002/mma.3710

• non-isentropic Euler-Maxwell system
• global smooth solutions
• long-time behavior

This work is concerned with the periodic problem for compressible non-isentropic Euler-Maxwell systems with a temperature damping term arising in plasmas. For this problem, we prove the global in time existence of a smooth solution around a given non-constant steady state with the help of an induction argument on the order of the mixed time-space derivatives of solutions in energy estimates. Moreover, we also show the convergence of the solution to this steady state as the time goes to the infinity. This phenomenon on the charge transport shows the essential relation of the systems with the non-isentropic Euler-Maxwell and the isentropic Euler-Maxwell systems.

• 出版日期2016-7
• 单位北京工业大学