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等离子体双极Euler-Maxwell方程组的松弛极限 被引量：1

The Relaxation Limit of Bipolar Euler-Maxwell Equations Arising from Plasma
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摘要 研究等离子体双极Euler-Maxwell方程组的零松弛时间极限.对于好的初值,借助Maxwell迭代和能量方法,证明了当松弛时间趋向于零时,双极Euler-Maxwell方程组周期初值问题的解到漂流扩散方程组周期初值问题解的收敛性. This work is concerned with multi-dimensional bipolar Euler-Maxwell equations for plasmas with short momentum ：relaxation time. With the help of the Maxwell iteration, the convergence for the smooth solutions to the bipolar Euler-Maxwell equations towards the solutions to the smooth solutions to the bipolar drift-diffusion equations is proved, as the relaxation time tends to zero. Meanwhile, the formal derivation of the latter from the former is Justified.
作者 王术 杨建伟 王卫
机构地区 北京工业大学应用数理学院 华北水利水电学院数学与信息科学学院 中国石化石油工程技术研究院
出处 《数学物理学报（A辑）》 CSCD 北大核心 2011年第6期1543-1549,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(11071009)资助
关键词 Euler—Maxwell方程组 松弛极限 漂流扩散方程组. Euler-Maxwell equations Relaxation limit Drift-diffusion equations.
分类号 O175.29 [理学—基础数学]
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共引文献8

同被引文献9

  • 1杨建伟,王术,石启宏.等离子体双极Euler-Maxwell方程的非相对论极限[J].应用数学,2010,23(1):179-184. 被引量：2
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数学物理学报（A辑）
2011年 第6期

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