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.

(i) I will present almost-optimal stability for the quasineutral limit for the Vlasov-Poisson and Vlasov-Poisson with massless electrons, obtained via stability-by-transport in kinetic Wasserstein distance together with refined control of the exponential Poisson coupling.

(ii) For magnetized plasmas, I will describe a new result on the quasineutral limit from the relativistic Vlasov-Maxwell system to electron-MHD in an analytic-regularity setting. Here the analysis provides estimates uniform in the quasineutral parameter and strong (filtered) convergence to the limiting dynamics.