Summer 2008

BMS-Course Dynamical Systems III

Prof. Dr. Bernold Fiedler

Recitation session: Dr. Stefan Liebscher

Schedule, Summer 2008

Lecture:

Tuesday, 10.15-14.00, Seminar room 140, Arnimallee 7

Recitation session:

Monday, 12.15-14.00, Seminar room 140, Arnimallee 7

Topics

The course combines current concepts from Dynamical Systems and (mostly parabolic) Partial Differential Equations. Selection of Topics:

1. Analytic Semigroups (survey)
2. Invariant Manifolds
3. Bifurcations
4. Inertial Manifolds
5. Global Attractors
6. Spatio-Temporal Patterns

Web pages of parts I & II.

References

• J. Hale: Functional differential equations, Applied Mathematical Sciences. Vol. 3, Springer, 1971
• D. Henry: Geometric Theory of Semilinear Parabolic Equations, Springer, LNM 840, 1981
• G. Sell, Y. You: Dynamics of evolutionary equations, Applied Mathematical Sciences 143, Springer, 2002
• R. Temam: Infinite-Dimensional Systems in Mechanics and Physics, Springer, 1998.
• M.I. Vishik: Asymptotic behaviour of solutions of evolutionary equations, Cambridge University Press, 1992
• B. Fiedler, A. Scheel: Dynamics of Reaction-Diffusion Patterns. In: Trends in Nonlinear Analysis, Festschrift dedicated to Willi Jäger for his 60th birthday, M. Kirkilionis, R. Rannacher, F. Tomi (eds.), Springer, 2003, 23-152.

Homework assignments, Summer 2008

1. Abgabe: 25. April 2008 (PDF)
2. Abgabe: 02. Mai 2008 (PDF)
3. Abgabe: 08. Mai 2008 (PDF)
4. Abgabe: 22. Mai 2008 (PDF)
5. Abgabe: 29. Mai 2008 (PDF)
6. Abgabe: 05. Juni 2008 (PDF)
7. Abgabe: 12. Juni 2008 (PDF)
8. Abgabe: 19. Juni 2008 (PDF)
9. Abgabe: 26. Juni 2008 (PDF)
10. Abgabe: 03. Juli 2008 (PDF)
11. Abgabe: 10. Juli 2008 (PDF)