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.

Link: https://zoom.us/j/5810580024

  Hoạt động tuần
Xuất bản mới
Le Thi Hong Hanh, Dương Trọng Luyện, Nguyễn Minh Trí, Nontrivial Solutions to Boundary Value Problems for Semilinear $\Delta ^{\alpha ,\beta }_{\alpha _1,\beta _1}$-Differential Equations, Analysis and PDE in Developing Countries, Trends in Mathematics (TM, volume 17) (2026) pp 27–35, Birkhäuser/Springer, Cham, 2026 ISBN: 978-3-032-14210-8; 978-3-032-14211-5
Adam Czornik, Đoàn Thái Sơn, Nguyễn Thị Thu Sương, Pole Placement Theorem for Linear Measurable Time-Varying Control Systems with Single Input, SIAM Journal on Control and Optimization, Vol. 64, Iss. 4 (2026)
Đinh Nho Hào, Maxim Shishlenin, Van Ba Cong, Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks, Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)