Modul

The module will be completed with an oral exam (approx. 30 min).

The main aim of this lecture is to introduce students to tools and techniques developed in recent years to analyze the evolution of fluids and kinetic equations.
The students will learn how to use these techniques and how to apply them to families of equations.

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In this lecture we discuss selected techniques and tools that have lead to significant progress in the analysis of fluids and kinetic eqautions.
These, for instance, include:
- energy methods and local well-posedness results (e.g. fixed point results, Osgood lemma)
- Newton iteration
- Cauchy-Kowalewskaya and ghost energy approaches

No prior knowledge of fluids or kinetic equations is required.

The modules "Classical Methods for Partial Differential Equations" and "Functional Analysis" are recommended.

Total workload: 90 hours

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