Convergence to equilibrium for chemical reaction-diffusion systems

Abstract: This talk presents the quantitative large time behaviour of reaction-diffusion systems modelling complex balanced chemical reaction networks. The convergence to equilibrium is investigated by using the so-called entropy method, which is robust enough to apply to renormalised solutions. When the system possesses no boundary equilibria, the solution is shown to converge exponentially to equilibrium with a semi-explicit rate. For certain systems with boundary equilibria, we investigate the competition between attraction of the positive equilibrium and hypothetical convergence towards the boundary to show the dominance of the former.

This talk is based on joint works with Laurent Desvillettes and Klemens Fellner.

algebraic geometrydynamical systemsprobability

Audience: researchers in the topic

( video )

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Seminar on the Mathematics of Reaction Networks

Series comments: Subscription link: list.ku.dk/postorius/lists/morn.list.ku.dk/

This seminar series focuses on progress in mathematical theory for the study of reaction networks, mainly in biology and chemistry. The scope is broad and accommodates works arising from dynamical systems, stochastics, algebra, topology and beyond.

We aim at providing a common forum for sharing knowledge and encouraging discussion across subfields. In particular we aim at facilitating interactions between junior and established researchers. These considerations will be represented in the choice of invited speakers and we will strive to create an excellent, exciting and diverse schedule.

The seminar runs twice a month, typically on the 2nd and 4th Thursday of the month, at 17:00 Brussels time (observe that this webpage shows the schedule in your current time zone). Each session consists of two 25-minute talks followed by 5-minute questions. After the two talks, longer discussions will take place for those interested. To this end, we will use breakout rooms. For this to work well, you need to have the latest version of Zoom installed (version 5.3.0 or higher), and use the desktop client or mobile app (not supported on ChromeOS).

We look forward hearing about new work and meeting many of you over zoom!

The organizers.

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