Institute for applied mathematics

Applied Analysis - Teaching

Summer Term 2013


Angewandte Mathematik und Statistik in den Agrar- und Ernährungswissenschaften

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Die Klausur im SS 13 hat am Dienstag 23.07.2013 in den Hösälen A und B der Anatomie sowie im Zeichensaal und großen Hörsaal in der Wegelerstrasse 10 stattgefunden.

Weitere Informationen:
Prüfungsschwerpunkte
Klausur vom 08.03.2013 mit Lösungen
Webseite von Frau Dr. Kiesel, mit Skript und Aufgabenblätter


V5B3 - Advanced Topics in PDE and Mathematical Models - Analytical methods for thin elastic sheets and isoperimetric problems

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Sergio Conti, Wednesdays 12-14, Mathematikzentrum, Room 1.008, Thursdays 12-14, Mathematikzentrum, Room 1.007.

First examination: Oral, 19-22 July 2013.
Second examination: Oral, 9-13 September 2013. Precise times will be fixed in the second half of August.
Announcement (889 Kb, last modified 4.3.2013)

The first part of the class is devoted to variational models for the elastic properties of thin sheets. After a brief introduction on continuum mechanics, we shall discuss membrane and plate theories, and their derivations from three-dimensional nonlinear elasticity in the appropriate scaling regimes. The key mathematical tools will be Gamma convergence theory and rigidity estimates.
In the second part of the class we shall address isoperimetric and, more in general, partition problems. The key mathematical toolswe shall develop is the theory functions of bounded variations and sets of finite perimeter.
Required background includes basic measure theory, elementary PDE theory and functional analysis (modules V2B1, V2B2 and V3B1). Some knowledge of the content of the classes PDE and Modeling (V3B2) and Advanced Topics in Analysis and Calculus of Variations - Multiscale Methods in the Calculus of Variations (V5B5, WS 2012-13) is helpful but not a prerequisite, as the necessary notions will be briefly summarized in the class.
The course is coordinated with the lecture course "Numerical Methods for thin elastic sheets, shapes and isoperimetric problems" by M. Rumpf (V5E3, Wednesday 10-12, Thursday 10-12) intending to show the strong interplay between the analytical and computational approaches. Each of these courses will be self contained and can be followed independently. We believe, however, that there will be a substantial gain following both courses in parallel.

Lecture notes (644 Kb, last modified 18.7.2013) References (89 Kb, last modified 18.7.2013) 

News

Prof. Dr. S. Müller erhält den diesjährigen Lehrpreis der Universität Bonn (07.07.17).

Prof. Dr. Michael Ortiz kommt als Bonn Research Chair ans IAM (Pressemitteilung, 29.7.2016).

Prof. Dr. S. Conti erhält den diesjährigen Lehrpreis der Universität Bonn (05.07.2016).

Prof. Dr. Karl-Theodor Sturm, Koordinator des Hausdorff Zentrums für Mathematik an der Universität Bonn, erhält für seine eigene Forschung einen begehrten Advanced Grant des Europäischen Forschungsrats (ERC). (Pressemitteilung 21.04.2016)

Prof. Dr. Stefan Müller has been invited to become full member of the scientific society “Academia Europaea” in November. Only European scientists, who have been recommended by a review board and are confirmed by a vote of the council, can join the society. (06.01.2016)

Contact

Managing Director: Prof. Dr. Anton Bovier
Chief Administrator: Dr. B. Doerffel
geschaeftsfuehrung@iam.uni-bonn.de
Imprint

Mailing address

Institute for Applied Mathematics
University of Bonn
Endenicher Allee 60
D-53115 Bonn / Germany