Connecting multiple scales through PDEs: scaling limits and hypocoercivity

09.12.2025 14:30 - 15:15

Havva Yoldaş Winter (Delft University of Technology)

I will give a brief introduction to how natural phenomena can be modelled mathematically across different
scales (microscopic, mesoscopic, macroscopic) and to Hilbert’s Sixth Problem. This will be followed by an
exposition of mathematical problems in kinetic theory and key techniques such as hypocoercivity, Harris-type
results, and structure-preserving numerical schemes. I will show how these techniques allow us to address these problems and to connect PDEs across scales. Finally, I will present some applications in mathematical biology.

Organiser:

Fakultät für Mathematik, Dekan Radu Ioan Boţ

Location:
Seminarraum 06, 1. OG