Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms
Stability of non-constant steady-state solutions for bipolar non-isentropic Euler-Maxwell equations with damping terms
复制标题
含阻尼项的双极非等熵欧拉-麦克斯韦方程非常数稳态解的稳定性
DOI：
10.1007/s00033-016-0728-x
复制
发表时间：
2016
影响因子：
2
通讯作者：
Feng Yue-Hong
中科院分区：
文献类型：
--
作者：
Li Xin;Wang Shu;Feng Yue-Hong
本文考虑等离子体中带阻尼项的双极非等熵Euler-Maxwell方程的周期问题。通过对能量估计中解的时空导数阶数的归纳论证，得到了具有小振幅的全局光滑解，该解接近于具有渐近稳定性的非常数定态解.此外，我们还得到了双极非等熵Euler-Poisson方程在非常数平衡点附近解随时间指数衰减的全局稳定性。这种电荷输运现象反映了双极非等熵Euler-Maxwell/Poisson方程与双极等熵Euler-Maxwell/Poisson方程的本质联系和区别。
In this article, we consider the periodic problem for bipolar non-isentropic Euler–Maxwell equations with damping terms in plasmas. By means of an induction argument on the order of the time-space derivatives of solutions in energy estimates, the global smooth solution with small amplitude was established close to a non-constant steady-state solution with asymptotic stability property. Furthermore, we obtain the global stability of solutions with exponential decay in time near the non-constant steady-states for bipolar non-isentropic Euler–Poisson equations. This phenomenon on the charge transport shows the essential relation and difference between the bipolar non-isentropic and the bipolar isentropic Euler–Maxwell/Poisson equations.