Organizer(s):

Name:

Affiliation:

Country:

Yuxiang Li

School of Mathematics, Southeast University, Nanjing 211189, CHINA

Peoples Rep of China

Xuan Mao

School of Mathematics, Hohai University, Nanjing 211100, CHINA

Peoples Rep of China

Jianlu Yan

School of Mathematics and Key Laboratory of MIIT, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, CHINA

Peoples Rep of China

 Introduction:  

Chemotaxis models have long served as fundamental mathematical frameworks for describing directed movement driven by chemical signals, with broad applications in biology, ecology, and medicine. Over the past decades, classical chemotaxis systems, such as the Keller–Segel model, have stimulated extensive research on qualitative properties of solutions, including global existence, boundedness, pattern formation, and finite-time blow-up. In recent years, significant progress has been made in both the theoretical analysis and modeling aspects of chemotaxis equations. This session aims to highlight recent advances on chemotaxis models from analytical perspectives. Topics of interest include, but are not limited to, refined criteria for global existence versus blow-up, stabilization mechanisms induced by logistic sources, nonlinear diffusion, signal consumption, or fluid coupling, as well as new approaches to singularity formation and asymptotic behavior. Contributions addressing multi-species chemotaxis, chemotaxis–haptotaxis systems, and applications to biological phenomena are also welcome. By bringing together researchers working on different aspects of chemotaxis theory, this session seeks to provide a comprehensive overview of current developments, foster exchange of ideas, and stimulate further research on challenging open problems in the mathematical analysis of chemotaxis models.