Convergence of a Difference Scheme for the Vlasov--Poisson--Fokker--Planck System in One Dimension
โ Scribed by Schaeffer, Jack
- Book ID
- 111672857
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1998
- Tongue
- English
- Weight
- 387 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0036-1429
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๐ SIMILAR VOLUMES
The Vlasov-Fokker-Planck equation is a model for a collisional, electrostatic plasma. The approximation of this equation in one spatial dimension is studied. The equation under consideration is linear in that the electric field is given as a known function that is not internally consistent with the
## Abstract In this paper the global existence of weak solutions for the VlasovโPoissonโFokkerโPlanck equations in three dimensions is proved with an __L__^1^ โฉ __L^p^__ initial data. Also, the global existence of weak solutions in four dimensions with small initial data is studied. A convergence o