Department of Mathematics

Topics in Mathematical and Computational Fluid Dynamics

Please note that this page is old.
Check in the VVZ for a current information.
Lecturers: Siddhartha Mishra, Franziska Weber
Assistant: Fillippo Leonardi
Time/Date: Tue. 15 - 17 Room: HG G 26.3

Testat Requirement:
No testat requirement.

Lectures begin:
Monday, February 23th

Oral examination, 20 min.

Link to VVZ.

Lecture material

Download the lecture notes for the course here. Please let us know if you find errors or have other comments regarding the lecture notes! Thank you!


Exercise Published Solution Due date
Problem 1 11.03.2016   24.03.2016

Hand in: during the Tuesday classes.

Aims of the course

The course will cover some essential advanced topics in fluid dynamics, from both a theoretical and numerical point of view. The proposed topics include theory for the incompressible Euler and Navier-Stokes equations and numerical methods to approximate them. Additional topics including theory and numerics for the compressible Euler equations may also be covered.

To learn both theoretical aspects of PDEs governing fluid flows as well as numerical methods to approximate them.

Content of the course (tentative)

If time permits, we also cover some topics on the Compressible Euler equations.


Here you can find some useful extra literature:

PDEs and Functional Analysis in general:

Partial Differential Equations. AMS, 2010.

Lawrence C. Evans

Real analysis: Modern techniques and their applications. John Wiley and Sons, 2013.

G. B. Folland

Incompressible fluids:

Navier-Stokes Equations. University of Chicaco Press, 1988.

P. Constantin and C. Foias

Navier-Stokes Equations: Theory and Numerical Analysis. AMS, 2001. 

R. Temam

Vorticity and Incompressible Flow. Cambridge University Press, 2002.

A. J. Majda, A. L. Bertozzi

Navier-Stokes Equations and Turbulence. Encyclopedia of Mathematics and its Applications, 2001.

C. Foias, O. Manley, R. Rosa, R. Temam

The Mathematical Theory of Viscous Incompressible Flow, 1971.

O. A. Ladyzhenskaya


Wichtiger Hinweis:
Diese Website wird in älteren Versionen von Netscape ohne graphische Elemente dargestellt. Die Funktionalität der Website ist aber trotzdem gewährleistet. Wenn Sie diese Website regelmässig benutzen, empfehlen wir Ihnen, auf Ihrem Computer einen aktuellen Browser zu installieren. Weitere Informationen finden Sie auf
folgender Seite.

Important Note:
The content in this site is accessible to any browser or Internet device, however, some graphics will display correctly only in the newer versions of Netscape. To get the most out of our site we suggest you upgrade to a newer browser.
More information

© 2016 Mathematics Department | Imprint | Disclaimer | 18 April 2016