基于黎曼积分的同分布原理及应用

李柱恒; 颜毅华; 元鲁; 宋国乡

doi:10.7523/j.issn.2095-6134.2005.2.004

中国科学院大学学报 >

2005 , Vol. 22 >Issue 2: 147 - 151

DOI: https://doi.org/10.7523/j.issn.2095-6134.2005.2.004

论文

基于黎曼积分的同分布原理及应用

李柱恒 ,
颜毅华 ,
元鲁 ,
宋国乡

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1. 西安电子科技大学理学院, 西安 710071;
2. 中国科学院国家天文台, 北京 100012;
3. 广西民族学院计算机与信息科学学院, 南宁 530006

收稿日期: 2004-04-26

修回日期: 2004-08-09

网络出版日期: 2005-03-15

基金资助

国家科技部973项目(G2000078403);国家自然科学基金项目(10225313)资助

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Same Distribution Principle Based on Riemann-Integral and its Some Applications

LI Zhu-Heng ,
YAN Yi-Hua ,
YUAN Lu ,
SONG Guo-Xiang

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1. School of Science, Xidian University, Xian 710071, China;
2. National Astronomical Observatories, Chinese Academy of Sciences, Beijing 100 012, China;
3. School of Computer and Information Science, Guangxi University for Nationaliti es, Nanning 530006, China

Received date: 2004-04-26

Revised date: 2004-08-09

Online published: 2005-03-15

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摘要

颜毅华和樱井2000年在太阳物理杂志上发表一文,他们采取引入满足一定条件的局部参数λ来替代无力因子α的方法,针对太阳光球外围开放空间的非常α无力场模型,提出了一个边界积分方程表示.李柱恒等人在2004年发表于英国皇家天文学月刊的文章中,研究该边界积分方程的性质,遇到了一类重要奇异曲面积分.为了计算这类积分,本文在黎曼积分理论中引入同分布概念,建立同分布原理,并给出它的某些重要应用.

关键词： 黎曼积分; 同分布; 同分布原理

本文引用格式

李柱恒 , 颜毅华 , 元鲁 , 宋国乡 . 基于黎曼积分的同分布原理及应用[J]. 中国科学院大学学报, 2005 , 22(2) : 147 -151 . DOI: 10.7523/j.issn.2095-6134.2005.2.004

Abstract

A boundary integral equation representation for the non-constant-αforce-free field in the exterior of the sun can be found in Yan &Sakurai (2000),where a local parameter λinstead of the force-free factor αhas been introduced which should satisfy a proposed condition.The property of boundary integral equation presented by Yan has been discussed in Li, Song &Yan (2004), where a kind of important singularity surface integration can be found.In order to calculate this kind of integration, in this paper,we present a concept of the same distribution to Riemann-integral, build the same distribution principle and give some important applications of it.

Key words： Riemann-integral; same distribution; same distribution principle

参考文献

[1] Yan YH, Takashi Sakurai T.New boundary integral equation representation for finite energy force-free magnetic fields in open space.SolarPhysics, 2000, 195 :89 ～ 109

[2] Li ZH, Yan YH, Song GX.Property of boundary integral equation for solar non-constant-αforce-free magnetic fields.Monthly Notices of the RoyalAstronomical Society, 2004, 347 :1255～ 1265

[3] Huang YM, Li CZ.Mathematical Analysi.Bei jing :Science Press,1991.242 ～ 243(in Chinese with English abstract)

[4] Zhu JL.The Boundary Element Analysis of Ellipti cBoundary-Value Problems.Beijing :Science Press, 1991.20 ～ 21(in Chinese with Englishabstract)

[5] Liang CB, Qin GR, Liang ZJ.Electromagneti c.Beijing:Higher Education Press, 1995.9 ～ 50(in Chinese with English abstract)

[6] Gu CH, Li DQ, Chen SX, et al.Equations of Mathematical Physi cs.Beijing:Higher Education Press, 1979.94 ～ 126(in Chinese with Englishabstract)

[3] 黄玉民, 李成章.数学分析.北京:科学出版社, 1999.242 ～ 243

[4] 祝家麟.椭圆边值问题的边界元分析.北京:科学出版社, 1991.20～ 21

[5] 梁灿彬, 秦光戎, 梁竹健.电磁学.北京:高等教育出版社,1995.9 ～ 50

[6] 谷超豪, 李大潜, 陈恕行, 等.数学物理方程.北京:高等教育出版社, 1979.94～ 126

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