Entropy, duality, and cross diffusion

L. Desvillettes; Th Lepoutre; A. Moussa

doi:10.1137/130908701

Entropy, duality, and cross diffusion

L. Desvillettes
, Th Lepoutre
, A. Moussa

École Polytechnique

ENS Paris-Saclay
Institut Camille Jordan
UPMC Université de Paris VI

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

47 Citations (Scopus)

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).

langue originale	Anglais
Pages (de - à)	820-853
Nombre de pages	34
journal	SIAM Journal on Mathematical Analysis
Volume	46
Numéro de publication	1
Les DOIs	https://doi.org/10.1137/130908701
état	Publié - 28 mars 2014

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10.1137/130908701

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title = "Entropy, duality, and cross diffusion",

abstract = "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).",

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KW - Competition

KW - Duality lemma

KW - Entropy

KW - Global-in-time existence of weak solutions

KW - Population equations

KW - Strong cross diffusion

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Entropy, duality, and cross diffusion

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