I will begin with a short introduction to kinetic models for collisionless plasmas, focusing on Vlasov-type systems (Vlasov-Poisson and the variant with thermalized/massless electrons). 

I will then turn to the quasineutral regime. For Vlasov-Poisson and for the model with massless electrons, I will present almost-optimal stability of the quasineutral limit obtained using the kinetic Wasserstein distance, together with refined control of the exponential Poisson coupling. In the magnetized setting, I will describe a new result establishing the quasineutral limit from the relativistic Vlasov-Maxwell system to electron-MHD within an analytic-regularity framework; the analysis yields uniform-in-ε estimates and strong (filtered) convergence to the limiting dynamics.