Introduction to several applied differential equation models: discussion
of modelling, analytic and numerical aspects.

fluid dynamical models (Euler, Navier-Stokes, vortex models), traffic
flow models, theory of elasticity, 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)

oral exam

Lecture notes

Partial differential equations;

basic knowledge in physics / mechanics is helpful