Research group: Complex systems and dynamics
Complex systems appear everywhere in daily life, and due to their rich dynamics, dealing with them is a challenging task. With the help of modelling, such problems can usually be accurately described by mathematical models. The study of the complex systems is now transformed to that of the corresponding models where mathematical tools are employed to describe, explain, analyse, or predict the dynamics. In our research group, we aim at developing systematic approaches to investigate the dynamics of systems arising from natural, social, and life sciences.
Research topics include (but not limited to):
- Existence and regularity of reaction-diffusion systems
- Entropy method and convergence to equilibrium
- Molecular communications
- Pattern formation in evolving domains
- Stabilisation by boundary noise for PDE
- Energy equalities for equations from fluid mechanics
- Attractors for deterministic/random dynamical systems from PDE
Our research are funded by
- FWF Project I 5213 ”Quasi-steady state approximation for PDE”, 2022 - 2025
- OeAD Project FR 03/2020 ”Toward rigorous designation of molecular communications systems”, 2021 - 2022.