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Corpus ID: 221995909

Recent developments on quasineutral limits for Vlasov-type equations

@article{GriffinPickering2020RecentDO,
title={Recent developments on quasineutral limits for Vlasov-type equations},
author={Megan Griffin-Pickering and M. Iacobelli},
journal={arXiv: Analysis of PDEs},
year={2020}
}

Kinetic equations of Vlasov type are in widespread use as models in plasma physics. A well known example is the Vlasov-Poisson system for collisionless, unmagnetised plasma. In these notes, we discuss recent progress on the quasineutral limit in which the Debye length of the plasma tends to zero, an approximation widely assumed in applications. The models formally obtained from Vlasov-Poisson systems in this limit can be seen as kinetic formulations of the Euler equations. However, rigorousâ€¦Â Expand