等离子体模型中Poisson方程解的存在唯一性  

The existence and uniqueness of solution of Poisson equation in the model of plasma

作　　者：耿金波[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2012年第1期1-4,共4页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11101375)

摘　　要：利用压缩映像原理得到了等离子体模型方程中的Poisson方程解的存在性和唯一性,从而使等离子体模型方程化为平衡律方程,这样就可以运用平衡律方程的相关分析工具对其进行研究,使问题得到了一定的简化.The existence and uniqueness of solution of Poisson equation in the model of plasma were obtained by using the contraction principle of Banach, so the equation in the model of plasma was changed to balance law equation, the equation could be dealt with in the model of plasma by the analysis way of balance law equation, moreover, the problem was simplified.

关 键 词：等离子体模型 POISSON方程 压缩映像 存在唯一性 

分 类 号：O175.29[理学—数学]