On the Equilibriation of Chemical Reaction-Diffusion Systems with Degenerate Reactions
Abstract
Abstract. The trend to equilibrium for reaction-diffusion systems modeling chemical reaction networks is investigated, in the case when reaction processes happen on subsets of the domain. We prove the convergence to equilibrium by directly showing functional inequalities in terms of entropy method. Our approach allows us to deal with nonlinearities of arbitrary orders, for which only global renormalized solutions are known to globally exist. For bounded solutions, we also prove the convergence to equilibrium when the diffusion as well as the reaction are degenerate, that is both diffusion and reaction processes only act on specific subsets of the domain.
Fields of Study & Subjects
Microbial metabolism and enzyme function
Stability and Controllability of Differential Equations
Mathematical and Theoretical Epidemiology and Ecology Models
Publication details
- Journal / source
- SIAM Journal on Mathematical Analysis
- Volume
- 58
- Issue
- 1
- Pages
- 276–307
- Publication date
- 12 January 2026
- Language
- EN