Seminar: Feedback control of a non-autonomous reaction-diffusion equation via the inertial forms

Thời gian: 14:00 đến 16:00 Ngày 30/05/2025

Địa điểm: Phòng B102, VIASM

Báo cáo viên: Bùi Xuân Quang (Đại học PHENIKAA)

Tóm tắt: This report aims to establish the existence of an inertial manifold associated with a feedback control problem for a reaction-diffusion equation. The discussion begins with an introduction to the existence of smooth inertial manifolds for abstract parabolic equations, employing the Lyapunov–Perron method. The core of the report is devoted to a detailed analysis of the dichotomy/spectral gap conditions that ensure the existence of an inertial manifold in the setting of a finite-dimensional feedback control problem for non-autonomous reaction-diffusion equations