250002 VO Selected topics in differential equations (2008W)
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Details
Language: English
Lecturers
Classes (iCal) - next class is marked with N
- Wednesday 01.10. 09:00 - 10:00 Seminarraum
- Thursday 02.10. 09:00 - 10:00 Seminarraum
- Wednesday 08.10. 09:00 - 10:00 Seminarraum
- Thursday 09.10. 09:00 - 10:00 Seminarraum
- Wednesday 15.10. 09:00 - 10:00 Seminarraum
- Thursday 16.10. 09:00 - 10:00 Seminarraum
- Wednesday 22.10. 09:00 - 10:00 Seminarraum
- Thursday 23.10. 09:00 - 10:00 Seminarraum
- Wednesday 29.10. 09:00 - 10:00 Seminarraum
- Thursday 30.10. 09:00 - 10:00 Seminarraum
- Wednesday 05.11. 09:00 - 10:00 Seminarraum
- Thursday 06.11. 09:00 - 10:00 Seminarraum
- Wednesday 12.11. 09:00 - 10:00 Seminarraum
- Thursday 13.11. 09:00 - 10:00 Seminarraum
- Wednesday 19.11. 09:00 - 10:00 Seminarraum
- Thursday 20.11. 09:00 - 10:00 Seminarraum
- Wednesday 26.11. 09:00 - 10:00 Seminarraum
- Thursday 27.11. 09:00 - 10:00 Seminarraum
- Wednesday 03.12. 09:00 - 10:00 Seminarraum
- Thursday 04.12. 09:00 - 10:00 Seminarraum
- Wednesday 10.12. 09:00 - 10:00 Seminarraum
- Thursday 11.12. 09:00 - 10:00 Seminarraum
- Wednesday 17.12. 09:00 - 10:00 Seminarraum
- Thursday 18.12. 09:00 - 10:00 Seminarraum
- Wednesday 07.01. 09:00 - 10:00 Seminarraum
- Thursday 08.01. 09:00 - 10:00 Seminarraum
- Wednesday 14.01. 09:00 - 10:00 Seminarraum
- Thursday 15.01. 09:00 - 10:00 Seminarraum
- Wednesday 21.01. 09:00 - 10:00 Seminarraum
- Thursday 22.01. 09:00 - 10:00 Seminarraum
- Wednesday 28.01. 09:00 - 10:00 Seminarraum
- Thursday 29.01. 09:00 - 10:00 Seminarraum
Information
Aims, contents and method of the course
fundamental concepts (density, pressure, velocity field, free surface, vorticity), governing equations of hydrodynamics (Eulerian and Lagrangian view), small amplitude water wave theory (linear and nonlinear aspects), special topics (wave breaking, motion beneath the surface, vorticity effects, solitons, tsunamis)
Assessment and permitted materials
Evaluation of five homework assignments (25 %), midterm take-
home exam (25%), final take-home exam (50 %).
home exam (25%), final take-home exam (50 %).
Minimum requirements and assessment criteria
Introduction to the fundamental understanding of water wave theory, aimed at striking a good balance between physical insight and mathematical analysis. The covered aspects range from the classical theory (nondimensionalisation, linearisation) to modern aspects (solitons, tsunamis).
Examination topics
Course + proseminar + research seminar. The proseminar comple-
ments the course material and provides feedback for the homework assignments. An optional research seminar (with no bearing on the final grade) dwelves into some topics of great interest in this field that are still under active investigation,not just because of technical difficulties in the mathematical analysis, but also because essential features are not properly understood at all.
ments the course material and provides feedback for the homework assignments. An optional research seminar (with no bearing on the final grade) dwelves into some topics of great interest in this field that are still under active investigation,not just because of technical difficulties in the mathematical analysis, but also because essential features are not properly understood at all.
Reading list
In addition to lecture notes that will be regularly provided, we recommand the following books
1. R. Johnson, A modern introduction to the mathematical theory of water
waves, Cambridge University Press, Cambridge, 1997.
2. P. Drazin and R. Johnson, Solitons: an introduction, Cambridge University
Press, Cambridge, 1989.
3. A. Majda and A. Bertozzi, Vorticity and incompressible ow, Cambridge
University Press, Cambridge, 2002.
1. R. Johnson, A modern introduction to the mathematical theory of water
waves, Cambridge University Press, Cambridge, 1997.
2. P. Drazin and R. Johnson, Solitons: an introduction, Cambridge University
Press, Cambridge, 1989.
3. A. Majda and A. Bertozzi, Vorticity and incompressible ow, Cambridge
University Press, Cambridge, 2002.
Association in the course directory
MANV
Last modified: Mo 07.09.2020 15:40