Entropy, Duality and Cross Diffusion - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2014

Entropy, Duality and Cross Diffusion

Résumé

This paper is devoted to the use of the entropy and duality methods for the existence theory of reaction-cross diffusion systems consisting of two equations, in any dimension of space. Those systems appear in population dynamics when the diffusion rates of individuals of two species depend on the concentration of individuals of the same species (self-diffusion), or of the other species (cross diffusion).

Dates et versions

hal-00785379 , version 1 (06-02-2013)

Identifiants

Citer

Laurent Desvillettes, Thomas Lepoutre, Ayman Moussa. Entropy, Duality and Cross Diffusion. SIAM Journal on Mathematical Analysis, 2014, 46 (1), pp.820-853. ⟨10.1137/130908701⟩. ⟨hal-00785379⟩
494 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More