On the entropic structure of reaction-cross diffusion systems - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Communications in Partial Differential Equations Année : 2015

On the entropic structure of reaction-cross diffusion systems

Résumé

This paper is devoted to the study of systems of reaction-cross diffusion equations arising in population dynamics. New results of existence of weak solutions are presented, allowing to treat systems of two equations in which one of the cross diffusions is convex, while the other one is concave. The treatment of such cases involves a general study of the structure of Lyapunov functionals for cross diffusion systems, and the introduction of a new scheme of approximation, which provides simplified proofs of existence.
Fichier principal
Vignette du fichier
DLMT17 (1).pdf (414.87 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01078175 , version 1 (28-10-2014)

Licence

Copyright (Tous droits réservés)

Identifiants

Citer

L Desvillettes, Th Lepoutre, Ayman Moussa, A Trescases. On the entropic structure of reaction-cross diffusion systems. Communications in Partial Differential Equations, 2015, ⟨10.1080/03605302.2014.998837⟩. ⟨hal-01078175⟩
423 Consultations
137 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More