Modul

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

The main aim of this lecture is to introduce students to mathematical fluid dynamics. In particular, by the end of the course students will be able to

• discuss and explain the various formulations of the Euler equations and when these formulations are equivalent,
• state major theorems and their relation,
• discuss weak formulations, existence and uniqueness results.

None

Mathematical description and analysis of fluid dynamics:

• physical motivation of the incompressible Euler and Navier-Stokes equations,
• Vorticity-Stream formulation and Eulerian and Lagrangian coordinates,
• Local existence theory and energy methods,
• Weak solutions and the Beale-Kato-Majda criterion.

The contents of the courses "Classical Methods for Partial Differential Equations" or "Boundary and Eigenvalue Problems" are recommended.

Total workload: 90 hours

Attendance: 30 hours

• lectures, problem classes, and examination 

Self-studies: 60 hours

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