Networked Mathematical Flows
During NetMathFlows2025, Dr. Jan Malawko from the Interdisciplinary Centre for Mathematical and Computational Modelling (University of Warsaw) delivered a plenary lecture on flight planning in the session dedicated to applications of dynamical systems on networks. The idea behind this session was to bring together specialists from various fields who had not previously collaborated with experts in differential equations.
Dr. Malawko’s lecture, titled “Costs versus Speed, Time & Distance Flight Plan Optimisation”, took the form of a problem session, providing space to present challenges from other disciplines that could potentially be addressed with mathematical methods, while also allowing discussion at every stage of the presentation.
The conference was held at the Research and Conference Center of the Institute of Mathematics of the Polish Academy of Sciences in Będlewo, on September 9–11, 2025. It brought together mathematicians from the Faculty of Mathematics, Informatics and Mechanics at the University of Warsaw, the University of Oxford, Yale University, as well as many other renowned European universities, alongside participants from Asia and Africa.
The conference also explored new topics such as co-evolving networks, multi-scale analysis, control theory, and practical applications. Another key goal was to connect research groups that usually work separately – those applying optimal transport methods and classical density approaches, specialists in metric and combinatorial graph perspectives, as well as theoreticians and scientists working in fields such as geography, medicine, logistics, and linguistics.
The detailed program of NetMathFlows2025, including abstracts of the talks, is available here.
