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等离子体模型中Poisson方程解的存在唯一性
引用本文:耿金波. 等离子体模型中Poisson方程解的存在唯一性[J]. 浙江师范大学学报(自然科学版), 2012, 0(1): 1-4
作者姓名:耿金波
作者单位:浙江师范大学数理与信息工程学院
基金项目: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.

关 键 词:等离子体模型  Poisson方程  压缩映像  存在唯一性

The existence and uniqueness of solution of Poisson equation in the model of plasma
GENG Jinbo. The existence and uniqueness of solution of Poisson equation in the model of plasma[J]. Journal of Zhejiang Normal University Natural Sciences, 2012, 0(1): 1-4
Authors:GENG Jinbo
Affiliation:GENG Jinbo(College of Mathematics,Physics and Information Engineering,Zhejiang Normal University,Jinhua Zhejiang 321004,China)
Abstract: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.
Keywords:model of plasma  Poisson equation  contraction principle  existence and uniqueness
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