标题： 双极非等熵可压缩 Euler-Maxwell 系统在等离子体中全局光滑解的渐近行为 显示英文标题

标题： The asymptotic behavior of globally smooth solutions of bipolar non-isentropic compressible Euler-Maxwell system for plasma

摘要： 在本文中研究了 $R^3$ 中的双极非等熵可压缩 Euler-Maxwell 系统，并建立了全局光滑解的 $L^q$ 时间衰减率。 结果显示，两种载流子的总密度、总温度和磁场在 $L^q$ 范数下以相同的速率 $(1+t)^{-3/2+3q/2}$ 收敛到平衡状态。 但是，两种载流子的密度差和温度差以速率 $(1+t)^{-2-\frac{1}{q}}$ 衰减，速度和电场以速率 $(1+t)^{-3/2+\frac{1}{2q}}$ 衰减。 这种电荷输运现象显示了非等熵单极 Euler-Maxwell 系统与双极等熵 Euler-Maxwell 系统之间的本质区别。 显示英文摘要

摘要： The bipolar non-isentropic compressible Euler-Maxwell system is investigated in $R^3$ in the present paper, and the $L^q$ time decay rate for the global smooth solution is established. It is shown that the total densities, total temperatures and magnetic field of two carriers converge to the equilibrium states at the same rate $(1+t)^{-3/2+3q/2}$ in $L^q$ norm. But, both the difference of densities and the difference of temperatures of two carriers decay at the rate $(1+t)^{-2-\frac{1}{q}}$, and the velocity and electric field decay at the rate $(1+t)^{-3/2+\frac{1}{2q}}$. This phenomenon on the charge transport shows the essential difference between the non-isentropic unipolar Euler-Maxwell and the bipolar isentropic Euler-Maxwell system.