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Streamers in gas discharge devices. (English) Zbl 0864.34049

Summary: Streamers are ionization waves in gas discharge devices, modelled here as travelling solutions of a drift-diffusion model for the transport of electrons and ions. The existence of a certain type of small amplitude streamers is proved by applying results from the theory of singularly perturbed ordinary differential equations. Global information is obtained from a large activation energy analysis.

MSC:

34E15 Singular perturbations for ordinary differential equations
78A20 Space charge waves
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