Scaling Limits and Effective Equations in Kinetic Theory I

Explore the fundamental concepts of kinetic theory in this lecture by Mario Pulvirenti, focusing on scaling limits and effective equations. Delve into the Boltzmann and Landau equations, which are crucial for describing rarefied gases and weakly interacting plasmas. Examine the formal derivation of these equations under specific scaling limits and investigate the challenges associated with providing rigorous proofs for these limiting procedures. Gain insights into the mathematical problems that arise in this context and enhance your understanding of the complexities involved in kinetic theory. This lecture, part of the Hausdorff Trimester Program on Kinetic Theory, offers a comprehensive exploration of the subject matter over the course of 1 hour and 8 minutes.