Mathematical and numerical analysis of a differential equation model for a gas glow discharge
A nonlinear characteristic value problem modeling a gas glow discharge is considered. A small parameter solution is found which corresponds to the classical Schottky equilibrium approximation. The operating characteristic is computed using the small parameter solution as a starting point. Uniqueness...
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| Veröffentlicht in: | Journal of computational physics 1975-01, Vol.18 (4), p.360-375 |
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| container_end_page | 375 |
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| container_issue | 4 |
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| container_title | Journal of computational physics |
| container_volume | 18 |
| creator | Bushard, Louis B. |
| description | A nonlinear characteristic value problem modeling a gas glow discharge is considered. A small parameter solution is found which corresponds to the classical Schottky equilibrium approximation. The operating characteristic is computed using the small parameter solution as a starting point. Uniqueness of the operating characteristic is inferred from a combination of global mathematical analysis and numerical analysis. The operating characteristic is stable. Finally, an observation on constriction is made. |
| doi_str_mv | 10.1016/0021-9991(75)90092-3 |
| format | Article |
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| ispartof | Journal of computational physics, 1975-01, Vol.18 (4), p.360-375 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals |
| title | Mathematical and numerical analysis of a differential equation model for a gas glow discharge |
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