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A refinement of the existence and uniqueness theorem for the Vlasov-Poisson system

✍ Scribed by Stephen Wollman

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
187 KB
Volume
126
Category
Article
ISSN
0022-247X

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πŸ“œ SIMILAR VOLUMES

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Global Existence of Regular Solutions for the Vlasov–Poisson–Fokker–Planck System
✍ Kosuke Ono πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 100 KB

We study the global existence and uniqueness of regular solutions to the Cauchy problem for the Vlasov-Poisson-Fokker-Planck system. Two existence theorems for regular solutions are given under slightly different initial conditions. One of them completely includes the results of P.

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## 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__∣ β†’ ∞. Thus, the total positive charge and the total