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Local existence for the one-dimensional Vlasov–Poisson system with infinite mass

✍ Scribed by Stephen Pankavich

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
161 KB
Volume
30
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

A collisionless plasma is modelled by the Vlasov–Poisson system in one dimension. We consider the situation in which mobile negative ions balance a fixed background of positive charge, which is independent of space and time, as ∣x∣ → ∞. Thus, the total positive charge and the total negative charge are both infinite. Smooth solutions with appropriate asymptotic behaviour are shown to exist locally in time, and criteria for the continuation of these solutions are established. Copyright © 2006 John Wiley & Sons, Ltd.

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