Kinetic models in inhomogeneous settings (B06)

• Subject Area: Mathematics
• Term: since 2025
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 539309657

Kinetic mean-field models for mass aggregation, such as coagulation equations, have so far mostly been studied in their homogeneous version without space dependence. In this project, we plan to investigate inhomogeneous versions of these models with emphasis on physically relevant situations where spatial dependence competes with aggregation and critically changes the structure of solutions. In the first funding period, we plan to study a kinetic model for the onset of rain showers and inhomogeneous versions of the classical Becker-Döring model for phase transitions.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1720: Analysis of criticality: from complex phenomena to models and estimates
• Applicant Institution: Rheinische Friedrich-Wilhelms-Universität Bonn
• Project Heads: Professorin Dr. Barbara Niethammer, since 7/2025; Professor Dr. Juan José López Velázquez, since 7/2025