The space-charge problem

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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Published date: 1990

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

Identifiers

Local EPrints ID: 824

URI: http://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: 11 Dec 2021 13:19

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Contributors

Author: Chris J. Budd

Author: Avner Friedman

Author: Bryce McLeod

Author: Adam A. Wheeler

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