Multiple time scales for reaction-diffusion systems
Người báo cáo: Tăng Quốc Bảo
Thời gian: 20h30-21h30, ngày 28 tháng 11 năm 2023
Tóm tắt: We discuss in these talks the problem of multiple time scales in reaction-diffusion systems. It happens often that in an interacting system, different processes take place at different time scales, on each of which the system might be described by a different model. A typical example stems from a large system of reactions, where many reactions happen with much faster rates than the other. Using this, one can obtain a reduced model by assuming that the fast reactions achieve their stationary states immediately, and this technique has been utilised quite often in chemical engineering. The rigorous, mathematical study of this phenomenon shows interesting yet challenging problems. In the first part, I will discuss certain modelling questions leading to the multiple time scales phenomenon, and in the second part, some common techniques will be introduced to mathematically investigate the problems.
