Reaction-diffusion systems: hysteresis and nonlocal interactions (A09*)

• Subject Area: Mathematics
• Term: from 2015 to 2018
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 163436311

The project deals with reaction-diffusion systems involving hysteresis, or, more generally, bistability. The models under consideration have applications to a large number of biological, chemical, physical, and economic processes. Besides the nontrivial issue of well-posedness, we are interested in the qualitative description of solutions. The analysis will be in terms of emerging spatio-temporal patterns that are influenced primarily by the interplay between diffusion and spatially distributed hysteresis. We will also develop theoretical concepts for the stability analysis and control of these patterns by temporally and spatially nonlocal feedback.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 910: Control of Self-Organising Non-Linear Systems: Theoretical Methods and Concepts of Application
• Applicant Institution: Technische Universität Berlin
• Co-Applicant Institution: Freie Universität Berlin
• Project Head: Privatdozent Pavel Gurevich, Ph.D.