等离子体双极可压Euler-Maxwell方程组解的整体存在性  

Global Existence and Decay of Solutions for the Bipolar Euler-Maxwell System in the Torus

作　　者：王术[1] 冯跃红[1] 李新[2] 

机构地区：[1]北京工业大学应用数理学院,北京100124 [2]信阳职业技术学院数计系,河南信阳464000

出　　处：《北京工业大学学报》2013年第9期1434-1440,共7页Journal of Beijing University of Technology

基　　金：国家自然科学基金资助项目(11071009);北京市自然科学基金资助项目(1132006);河南省青年骨干教师资助项目(2011GGJS-210)

摘　　要：为了解决等离子体双极可压Euler-Maxwell方程组周期问题光滑解的整体存在性问题,采用能量方法和能量函数的凸性方法,在初值是一个常数平衡解的小摄动前提下,证明了双极可压Euler-Maxwell方程组周期问题在其常数平衡解附近具有渐近稳定光滑整体解.The bipolar compressible Euler-Maxwell equations as a hydrodynamic model arising from plasma physics to describe the dynamics of the compressible electrons and ions was investigated. This work was concerned with three-dimensional Euler-Maxwell equations with smooth periodic solutions. With the help of energy method and the energy functional convex method, the global smooth solution with small amplitude was established near a constant equilibrium solution with asymptotic stability property.

关 键 词：双极可压Euler-Maxwell方程组 等离子物理 整体光滑解 

分 类 号：O175.29[理学—数学]