Research activities and Projects
The Chair in Applied Analysis at the Department of Mathematics of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), in Germany, co-funded by an Alexander von Humboldt-Foundation (AvH) Professorship, led by Enrique Zuazua, has a broad research interest.
Our group is active in the broad area of Applied Mathematics, develops and applies methods of Mathematical and Computational Mathematics to model, understand, design and control the dynamics of various phenomena arising in the interface of Mathematics with Engineering, Physics,
Biology and Social Sciences. So we are working on the interfaces of different areas:
- Control of diffusion models arising in Biology and Social Sciences
- Modeling and control of multi-agent systems
- Hyperbolic models arising in traffic flow and energy transport.
- Fractional PDE
- Optimal design in Material Sciences
- Micro-macro limit processes
- The interplay between discrete and continuous modelling in design and control
- The emergence of turnpike phenomena in long-time horizons
- Inversion and parameter identification
- Development of new computation tools and software
- Analysis of Partial Differential Equations (PDE)
We are a growing group of scientists with expertise in the areas of applied mathematics, PDE analysis, control theory, numerical analysis and computational mathematics who enjoy interdisciplinary work. This Chair will also contribute to the development of a new Center of Research at FAU, in the broad area of “Mathematics of Data”, conceived as a highly visible interdisciplinary research site, an incubator for future collaborative research grants and a turntable for the key research priorities of FAU, anchored in Mathematics and Computer Science.