On the Singularity of the Vlasov-Poisson System

and Hong Qin, Jian Zheng

关键词: Kinetic Theory;   

DOI  :  10.2172/1089861
RP-ID  :  PPPL-4871
PID  :  OSTI ID: 1089861

学科分类：原子、分子光学和等离子物理

美国|英语

来源: SciTech Connect

【 摘 要 】

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 v 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 approaching zero from the positive side.