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.

population dynamics, basic principles of thermodynamics and kinetic reactions, constitutive theory for viscous fluids, modeling of elastic solids, homogenization, hyperbolic conservation laws, models for pattern formation, introduction to free-boundary processes

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

first meeting: Tuesday, October 3rd, 10am

at the end of the semester: single oral exam based on individual appointment by email (about 30-40')

lecture notes: https://www.asc.tuwien.ac.at/arnold/lehre/pdgl/pde-modellierung-en.pdf

Partial differential equations;

basic knowledge in physics / mechanics is helpful

lecture notes: https://www.asc.tuwien.ac.at/arnold/lehre/pdgl/pde-modellierung-en.pdf