Matthias graduated with a degree in Mathematics from the University of Bonn in summer 2016. In his Master’s thesis “Differential Inclusions in Nonlinear Elasticity with BV Regularization” he discovered and analysed solutions that describe the behaviour of shape-memory alloys in a specific model. Matthias is particularly keen about the SAMBa programme, because it allows him to learn more about the application of stochastics and statistics in real world problems while still leaving the door open for a purely mathematical dissertation. In his spare time, Matthias likes to stay physically fit by going running, cycling or playing badminton, and mentally by constantly improving his mandarin skills.

Research project title:
Averaging for fast-slow systems

Supervisor(s):
Johannes Zimmer, Karsten Matthies

Project description:
Matthias studied systems with multiple time scales, so-called fast-slow systems. One aim was to derive effective large-scale descriptions of such systems, by ‘averaging out’ the fast scale. Thermodynamic systems are prototypical examples of systems with such a separation of time scales, and the aim of this project was to advance averaging methods for thermodynamic models.