On the equilibriation of chemical reaction-diffusion systems with degenerate reactions - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

On the equilibriation of chemical reaction-diffusion systems with degenerate reactions

Résumé

The trend to equilibrium for reaction-diffusion systems modelling 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 renormalised 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.
Fichier principal
Vignette du fichier
Desvillettes_Phung_Tang_final.pdf (533.03 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04580526 , version 1 (20-05-2024)
hal-04580526 , version 2 (04-12-2024)

Identifiants

Citer

Laurent Desvillettes, Kim Dang Phung, Bao Quoc Tang. On the equilibriation of chemical reaction-diffusion systems with degenerate reactions. 2024. ⟨hal-04580526v2⟩
47 Consultations
44 Téléchargements

Altmetric

Partager

More