|
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
Exam:
Oral examination, 20 min.
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.
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.
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.
Real analysis: Modern techniques and their applications. John Wiley and Sons, 2013.
Incompressible fluids:
Navier-Stokes Equations. University of Chicaco Press, 1988.
Navier-Stokes Equations: Theory and Numerical Analysis. AMS, 2001.
Vorticity and Incompressible Flow. Cambridge University Press, 2002.
Navier-Stokes Equations and Turbulence. Encyclopedia of Mathematics and its Applications, 2001.
The Mathematical Theory of Viscous Incompressible Flow, 1971.
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