THE SPACE-CHARGE PROBLEM

被引：15

作者：

BUDD, CJ

FRIEDMAN, A

MCLEOD, B

WHEELER, AA

机构：

[1] UNIV BRISTOL, BRISTOL BS8 1TH, AVON, ENGLAND

[2] UNIV MINNESOTA, INST MATH & APPLICAT, MINNEAPOLIS, MN 55455 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1990年 / 50卷 / 01期

关键词：

D O I：

10.1137/0150012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A space charge problem arising in modelling steady electric field in a neighborhood of an ionising conductor is considered. Mathematically, the problem reduces to a system consisting of one elliptic equation and one nonlinear hyperbolic equation. The existence of a weak solution is proved and its properties are studied, in part rigorously and in part heuristically and numerically.

引用

页码：181 / 198

页数：18

共 18 条

[1] FINITE-ELEMENT SOLUTION OF MONOPOLAR CORONA EQUATION [J].

ABDELSALAM, M ;

FARGHALLY, M ;

ABDELSATTAR, S .

IEEE TRANSACTIONS ON ELECTRICAL INSULATION, 1983, 18 (02) :110-119

[2] MONOPOLAR CORONA ON BUNDLE CONDUCTORS [J].

ABDELSALAM, M ;

FARGHALY, M ;

ABDELSATTAR, S .

IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1982, 101 (10) :4079-4089

[3]

ATTEN P, 1968, CR ACAD SCI B PHYS, V266, P1188

[4]

BUDD C, IN PRESS P ROY SOC A

[5] EXACT-SOLUTIONS OF THE SPACE-CHARGE EQUATION USING THE HODOGRAPH METHOD [J].

BUDD, CJ ;

WHEELER, AA .

IMA JOURNAL OF APPLIED MATHEMATICS, 1988, 40 (01) :1-14

[6]

FELICI N, 1963, RECENT ADV ANAL DC I, V2

[7]

FELICI N, 1963, RECENT ADV ANAL DC I, V1, P252

[8]

Friedman A., 1982, VARIATIONAL PRINCIPL

[9]

HUTTON A, 1986, CEGB TPRDB0868P86 RE

[10] FINITE-ELEMENT SOLUTION FOR ELECTRIC-FIELDS OF CORONATING DC TRANSMISSION-LINES [J].

JANISCHEWSKYJ, W ;

GELA, G .

IEEE TRANSACTIONS ON POWER APPARATUS AND SYSTEMS, 1979, 98 (03) :1000-1012

← 1 2 →