Modul

oral examination of approx. 30 minutes

The main aim of this lecture is to introduce students to the theory of kinetic transport equations. In particular, by the end of the course students will be able to

• discuss properties of the free transport, Boltzmann and Vlasov-Poisson equations,
• state major theorems and their relation,
• discuss notions of solutions and their properties,
• discuss the effects of phase mixing and challenges of nonlinear equations.

none

Mathematical description and analysis of kinetic transport equations:

• the free transport, Boltzmann and Vlasov-Poisson equations,
• linear theory, phase mixing and Landau damping,
• equilibrium solutions and stability,
• nonlinear results and methods,
• renormalized solutions.

The contents of the course "Classical Methods for Partial Differential Equations" are recommended.

Totel workload: 90 h

Attendance: 30 h

•  lectures and examination

Self studies: 60 h

• follow-up and deepening of the course content,
• literature study and internet research on the course content,
• preparation for the module examination