High-Field Limit for the Vlasov-Poisson-Fokker-Planck System

@inproceedings{Nieto2001HighFieldLF,
  title={High-Field Limit for the Vlasov-Poisson-Fokker-Planck System},
  author={Juan Nieto and Fr{\'e}d{\'e}ric Poupaud and Juan Soler and Yann Brenier},
  year={2001}
}
This paper is concerned with the analysis of the stability of the Vlasov-PoissonFokker-Planck system with respect to the physical constants. If the scaled thermal mean free path converges to zero and the scaled thermal velocity remains constant, then a hyperbolic limit or equivalently a high-field limit equation is obtained for the mass density. The passage to the limit as well as the existence and uniqueness of solutions of the limit equation in L1, global or local in time, are analyzed… CONTINUE READING

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