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The space-charge problem

The space-charge problem
The space-charge problem
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.
Space charge, ionising conductor, potential density, field lines, weak solution
0036-1399
181-198
Budd, Chris J.
60d19d5d-5cd5-4b63-9551-424bf8381fc9
Friedman, Avner
5844e870-5694-4709-8381-2eb91ba3f98f
McLeod, Bryce
081ef853-4c87-4d7c-bb8c-daa60e7940da
Wheeler, Adam A.
eb831100-6e51-4674-878a-a2936ad04d73
Budd, Chris J.
60d19d5d-5cd5-4b63-9551-424bf8381fc9
Friedman, Avner
5844e870-5694-4709-8381-2eb91ba3f98f
McLeod, Bryce
081ef853-4c87-4d7c-bb8c-daa60e7940da
Wheeler, Adam A.
eb831100-6e51-4674-878a-a2936ad04d73

Budd, Chris J., Friedman, Avner, McLeod, Bryce and Wheeler, Adam A. (1990) The space-charge problem. SIAM Journal on Applied Mathematics, 50 (1), 181-198.

Record type: Article

Abstract

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.

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More information

Published date: 1990
Keywords: Space charge, ionising conductor, potential density, field lines, weak solution

Identifiers

Local EPrints ID: 824
URI: https://eprints.soton.ac.uk/id/eprint/824
ISSN: 0036-1399
PURE UUID: cad2b6a9-c151-4abc-b341-6b1a0ed0912d

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Date deposited: 31 Mar 2004
Last modified: 01 Dec 2017 17:32

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