## On the Singularity of the Vlasov-Poisson System

Description:
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#23; 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 #23; approaching zero from the positive side.

Date:
April 26, 2013

Creator:
and Hong Qin, Jian Zheng

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