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.
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Description/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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Space charge, ionising conductor, potential density, field lines, weak solution |
| Related URLs: | http://links.jstor.org/sici?si...0.CO%3B2-E |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics |
| ePrint ID: | 824 |
| URI: | http://eprints.soton.ac.uk/id/eprint/824 |
| Deposited On: | 31 Mar 2004 |
| Last Modified: | 02 Mar 2012 13:24 |
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