Summary of the 2025
“Workshop on Recent Progress in Reaction-Diffusion Equations”
at Tianyuan Mathematics Research Center
The “2025 workshop on Recent Progress in Reaction-Diffusion Equations” organized by Yihong Du (Professor, University of New England), Kelei Wang (Professor, Wuhan University) and Gaihui Guo (Professor, Shaanxi University of Science & Technology) was successfully held at the Tianyuan Mathematics Research Center from October 12 to 18, 2025.
This workshop aims to provide a platform for exchanging ideas and progresses in the research of reaction-diffusion equations and related fields, and to foster new collaborations. Topics covered by the workshop include:
1. Propagation dynamics.
2. Chemotaxis and nonlocal dispersal in diffusive systems.
3. Eigenvalue problems arising from reaction-diffusion models.
4. New progresses in elliptic equations.
5. Free boundary problems in population dynamics.
The event attracted over 50 participants, ranging from leading researchers to current PhD students in the field, coming from institutions from within China and other countries, including: University of New England (Australia), University of Zurich (Swizerland), Brandenburg University of Technology (Germany), Meiji University (Japan), Universidad Autónoma de Madrid (Spain), Universität Paderborn (Germany), Memorial University of Newfoundland (Canada), The Chinese University of Hong Kong, Wuhan University, Shanghai Jiao Tong University, etc.
During the workshop, 28 presentations were delivered by a selected group of participants, each consisting of a 40-minute talk in English. From October 13 to 16, there were two 30-minute tea breaks and one 40-minute free discussion session every day. During the breaks and discussion sessions, the workshop participants exchanged the latest progresses on cutting-edge research topics in this field, and the on-site atmosphere was extremely lively. Some participants also worked on current joint research projects or new research questions on October 17. We hope that the workshop could promote the future development of research in reaction-diffusion equations and related problems.