Recent developments on quasineutral limits for Vlasov-type equations

Understand

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.