非常数平衡下Euler-Maxwell方程的衰变性质  

The Decay Property of Non-constant Equilibrium Solutions for Euler-Maxwell Equations

作　　者：齐国华[1] 

机构地区：[1]南京航空航天大学理学院,南京211106

出　　处：《西安文理学院学报（自然科学版）》2017年第1期11-16,共6页Journal of Xi’an University(Natural Science Edition)

摘　　要：主要研究非常数平衡态Euler-Maxwell方程的衰变性质.由于其正则性损失的耗散结构,与解的全局存在性的初值正则性相比,为了获得经典解的最优衰变率,额外更高的正则性是必要的.目标是以更低的初值正则性得到最优衰变率.因此,在Fourier空间的能量方法的基础上,用最新的专为解决一类正则性损失耗散系统的Lp-Lq-Lr估计去计算,最后得到期望的结果.In this paper, we mainly consider the decay property of non-constant equilibrium so- lutions for Euler-Maxwell equations. Due to the dissipative structure of regularity-loss, the extra higher regularity than that for the global-in-time existence is usually imposed to obtain the opti- mal decay rates of classical solutions to dissipative systems. The aim of this paper is to seek the lower regularity index for the optimal decay rate. To do this, based on the energy methods in Fourier spaces, we use a new time-decay estimate of Lp - Lq - Lr which was used for a class of dissipative systems of regularity-loss type, finally the desired results are achieved.

关 键 词：Euler-Maxwell方程 Lp-Lq-Lr估计 最优衰变率 正则性损失 

分 类 号：O175.29[理学—数学]