等离子体可压缩Euler-Maxwell系统光滑解的适定性  

Well-posedness of Solutions to the Compressible Euler-Maxwell System Arising From Plasmas

作　　者：冯跃红[1] 王术[1] 李新[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《北京工业大学学报》2016年第2期309-314,共6页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11371042);北京市自然科学基金资助项目(1132006)

摘　　要：考虑等离子体物理中的可压缩Euler-Maxwell系统,借助能量方法和对称子技巧,研究了三维环上的周期问题.在初值为一个小摄动的条件下,证明了当时间趋于无穷大时,该问题的整体光滑解收敛到一个非常数稳态解.This paper is concerned with the compressible Euler-Maxwell equations arising from plasmas.By using the techniques of symmetrizer and energy method,the well-posedness of solutions to periodic problems with prepared initial values was investigated.It shows that the periodic problems have globally smooth solutions near a non-constant steady state with an asymptotic stability property.

关 键 词：Euler-Maxwell系统 等离子体 整体光滑解 非常数稳态解 

分 类 号：O175.29[理学—数学]