After successful completion of the course, students are able to specify and apply a selection of PDE-applications in natural sciences and technology, and to discuss them from a mathematics perspective. They are able to describe the modelling assumptions or restrictions, as well as their essential analytical and numerical properties.

fluid dynamical models (Euler, Navier-Stokes, vortex models), traffic
flow models, theory of elasticity, homogenization, hyperbolic conservation laws, image processing models (nonlinear diffusion filter, shock filter), models for pattern formation
(reaktion-diffusion equations, Turing instability), evolution of thin films, collective behavior (kinetic equations)

Derivation of PDE-models from basic physical principles, model simplifications

first zoom meeting: Tuesday, Oct. 6, 9am

Tuesdays - Join URL: https://tuwien.zoom.us/j/99799212661?pwd=SlVzSjNDZzh3RzgwZUQ4amtsVWpoZz09

Meeting-ID: 997 9921 2661
password: 8c146i71

Wednesdays - Join URL: https://tuwien.zoom.us/j/99291541129?pwd=Yi9SdGRIanVqTXhsTWtlRS9hSDNWQT09

Meeting-ID: 992 9154 1129
password: 2w910h24

Alternatively, you may register in the TUWEL-course 101.500, where the zoom meeting have been created.
 

oral exam at the end of the semester

Lecture notes DE

Lecture notes EN

Partial differential equations;

basic knowledge in physics / mechanics is helpful