Reaction-diffusion systems - Large time behaviour
Người báo cáo: Giáo sư Tăng Quốc Bảo ( University of Graz, Austria)

Thời gian: 10h ngày 12 tháng 10 năm 2021
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Abstract: Reaction-diffusion systems are of the most encountered models in problems arising from physics, chemistry, biology, and many other sciences. In (large) chemical reaction systems, it is usually expected that concentrations will converge to a positive chemical equilibrium. Mathematically, this question turns out to be highly challenging. In this talk, we consider a large class of chemical reaction systems called textit{complex balanced} systems and discuss their large time behaviour. In the case without boundary equilibria, an entropy method provides the exponential convergence to equilibrium with a textit{semi-explicit} convergence rate. In the case of possible boundary equilibria, by establishing a lower bound of a (hypothetical) convergence to the boundary, the positive equilibrium is shown to be the only attracting point. These results shed light to the Global Attractor Conjecture for the PDE setting.

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