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

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

Research output: Contribution to journal › Article › peer-review

47 Citations (Scopus)

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).

Original language	English
Pages (from-to)	820-853
Number of pages	34
Journal	SIAM Journal on Mathematical Analysis
Volume	46
Issue number	1
DOIs	https://doi.org/10.1137/130908701
Publication status	Published - 28 Mar 2014

Keywords

Approximation
Competition
Duality lemma
Entropy
Global-in-time existence of weak solutions
Population equations
Strong cross diffusion

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10.1137/130908701

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KW - Duality lemma

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KW - Global-in-time existence of weak solutions

KW - Population equations

KW - Strong cross diffusion

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Entropy, duality, and cross diffusion

Abstract

Keywords

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