An introduction to kinetic equations

10 Ene An introduction to kinetic equations

The main goal of the lecture will be to give an overview of the problem studied in the field of kinetic equations. Those PDEs appear naturally in the modelling of systems composed by a large number of objects which are all subjected to the same physical laws. The panorama of objects that can be considered with those equations is very large: one can think about the electrons in a plasma or the stars in a galaxy (Vlasov equation), the particle of dust in suspension in a gas (Fokker-Plank equation), or the molecules of a gas (Boltzmann equation). We will particularly focus on the rigorous physical derivation of the equations, the well definition of their solutions, the large time asymptotic when it can be established, and the derivation of simpler equations. More info: https://www.bcamath.org/en/courses/2019-04-08-bcam-course