Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system
Global existence and asymptotic decay of solutions to the non-isentropic Euler-Maxwell system
复制标题
非等熵欧拉-麦克斯韦系统解的全局存在性和渐近衰减
DOI：
10.1142/s0218202514500390
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发表时间：
2014
影响因子：
3.5
通讯作者：
Kawashima Shuichi
中科院分区：
文献类型：
--
作者：
Feng Yue-Hong;Wang Shu（王术）;Kawashima Shuichi
本文研究了非等熵可压缩Euler-Maxwell方程组，建立了整体光滑解的Lq时间衰减率。结果表明，在Lq范数下，电子密度和温度以相同的速率收敛到平衡态。这种电荷输运现象揭示了该方程与非等熵Euler-Maxwell方程和等熵Euler-Maxwell方程的本质联系。
The non-isentropic compressible Euler–Maxwell system is investigated in ℝ3in this paper, and the Lqtime decay rate for the global smooth solution is established. It is shown that the density and temperature of electron converge to the equilibrium states at the same ratein Lqnorm. This phenomenon on the charge transport shows the essential relation of the equations with the non-isentropic Euler–Maxwell and the isentropic Euler–Maxwell equations.