Special Session 81: Reaction-(cross-)diffusion models in mathematical biology
Localization in space and Cauchy problem of chemotaxis system with logistic source
Xiaoxin Zheng
Beihang University Peoples Rep of China
Co-Author(s): Yao Nie
Abstract:
In this talk, we consider Cauchy problem of chemotaxis system with logistic source. In terms of the nonlocal effect of the logistic source and maximal regularity for the heat kernel, we establish the global-in-time bound of smooth solution.