On the Vlasov-Fokker-Planck equation
✍ Scribed by H. Neunzert; M. Pulvirenti; L. Triolo
- Book ID
- 112143904
- Publisher
- John Wiley and Sons
- Year
- 1984
- Tongue
- English
- Weight
- 467 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
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## Abstract In this paper we investigate the non‐linear Vlasov–Fokker–Planck (VFP) equation, a both physically and mathematically interesting modification of Vlasov's equation, which describes a plasma in a thermal bath. We prove existence, uniqueness and representation results for steady states of
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