# Functional Analysis

## PDE and Modelling

Summer Term 2015 (V3B2 / F4B1)

### Lectures

Wednesdays 10-12 and Fridays 8:30-10 (sharp, no break), Zeichensaal (Wegelerstr. 10). The first lecture will take place on Wednesday, April 8th.

### Tutorials

Thursdays, starting April 16. There will be two tutorial groups.

- Richard Höfer, 12-14, EA 60 Room 0.006
- Immanuel Zachhuber, 16-18, WS10 Zeichensaal

### Synopsis

- Dimensional analysis
- Introduction to continuum mechanics
- Elementary fluid mechanics
- Mathematical theory of equations in fluid mechanics
- Calculus of variations

### Exercises

There will be weekly exercise sheets. Cooperation in pairs is allowed. In this case, please hand in as a par. Typically, an exercise sheet consists of four problems, worth four points each.

- Exercise sheet 1, due April 17. Max. score: 16 points (4 per problem)
- Exercise sheet 2, due April 24. Max. score: 16 points (4 per problem)
- Exercise sheet 3, due May 6. Max. score: 16 points (4 per problem)
- Exercise sheet 4, due May 13. Max. score: 16 points (8+5+3, respectively)
- Exercise sheet 5, due June 3. Max. score: 20 points (3+7+6+4, respectively)
- Exercise sheet 6, due June 12. Max. score: 16 points (4 per problem)
- Exercise sheet 7, due
**June 24**. Max. score: 18 points (5, 7 and 6 points for problem 1, 2 and 4, respectively) plus 6 bonus points for problem 3 (optional).**Note that the deadline has been extended**. - Exercise sheet 8, due June 26. Max. score: 12 points (7+5, respectively)
- Exercise sheet 9, due July 3. Max. score: 16 points (5+4+7, respectively)
- Exercise sheet 10, optional

### Exam

The examination will be oral. The first term will be July 22 and 23, the second term will be September 29.

Examinations will take place in office 4.045 of the mathematics center (Endenicher Allee 60).

Registration for the oral exam has closed.

### Literature

- C. Eck, H. Garcke, P. Knabner,
*Mathematische Modellierung*, Springer-Verlag 2008 - M.E. Gurtin,
*An introduction to continuum mechanics*, Academic Press 1981 - A. Chorin, J.E. Marsden,
*A mathematical introduction to fluid mechanics*, Springer 1991 - L.C. Evans,
*Partial differential equations*, AMS 1998