On the singularity of the Vlasov-Poisson system
- Univ. of Science and Technology of China, Hefei (China)
- Univ. of Science and Technology of China, Hefei (China); Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
The Vlasov-Poisson system can be viewed as the collisionless limit of the corresponding Fokker-Planck-Poisson system. It is reasonable to expect that the result of Landau damping can also be obtained from the Fokker-Planck-Poisson system when the collision frequency $$\upsilon$$ approaches zero. However, we show that the colllisionless Vlasov-Poisson system is a singular limit of the collisional Fokker-Planck-Poisson system, and Landau’s result can be recovered only as the $$\upsilon$$ approaching zero from the positive side.
- Research Organization:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Hefei (China)
- Sponsoring Organization:
- USDOE Office of Science (SC); National Science Foundation of China; ITER-China Program; Ministry of Education of the People's Republic of China
- OSTI ID:
- 1089861
- Report Number(s):
- PPPL--4871
- Country of Publication:
- United States
- Language:
- English
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