Institute for applied mathematics

PDE and modelling (V3B2/F4B1)



Wednesday         10(c.t)-12      We10/Zeichensaal
Friday                  8.30(sharp, no break)-10      We10/Zeichensaal




R. Winter


There will be two tutorial groups. 

Tuesday         16(c.t.)-18  SemR 0.007, C. Eichenberg

Wednesday    8(c.t.) -10   SemR 0.007, N. Lipski



The exam will be oral.

The first session will be on Thursday 28 and Friday 29 July.

The second session on Wednesday 7 and Thursday 8 September.

All exams will take place in Room 4.045.






Problem sheets.

Problem sheets are handed out in the lecture on Fridays and are available below. Solutions may be submitted in groups of two students who attend the same tutorial and are collected on Fridays during the lecture.


Sheet 1

Sheet 2

Sheet 3

Sheet 4 

Sheet 5

Sheet 6

Sheet 7

Sheet 8

Sheet 9

Sheet 10

Sheet 11 (optional)

Lecture notes (work in progress: lectures 1-24)




The course deals with the mathematical modeling of physical systems, and the analysis of the resulting partial differential equations.


The course will consist of three main parts:


  •  Continuum mechanics and modeling (in particular kinematics, balance laws, constitutive equations, and examples)
  • Fluid mechanics (in particular compressible and incompressible Euler and Navier-Stokes equations)

  •  Solid mechanics and elasticity (in particular direct and indirect methods of the calculus of variations, notions of convexity, nonlinear elasticity and its linearization)

Classes will be in English.



The contents of the lectures ”Introduction to PDE” and ”PDE and Functional Analysis” are presumed to be known. In particular, properties of Sobolev spaces and weak convergence will be used. A basic physics background is helpful but not required.

To catch up with the necessary background we recommend


  •  H. Brezis, Functional Analysis, Sobolev spaces and partial differential equations, Springer 2010 • L.C. Evans, Partial Differential Equations, American Math. Soc. 1998
  •  L.C. Evans, Partial Differential Equations, American Math. Soc. 1998





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)


Managing Director: Prof. Dr. Anton Bovier
Chief Administrator: Dr. B. Doerffel

Mailing address

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