Abstract Part I (mini-course): I will introduce kinetic models for collisionless plasmas, focusing on Vlasov-type systems. I will discuss well-posedness and stability, with emphasis on a method based on kinetic Wasserstein distances that respect the geometry of characteristics and the position-velocity anisotropy. This approach significantly improves stability estimates and provides a natural way to compare solutions along characteristics. The first part is self-contained and accessible to graduate students and non-specialists. Abstract Part II (research seminar): After a brief recap of models and notation, I will turn to the quasineutral regime. […]