Conservative cross diffusions and pattern formation through relaxation
type: Item
instance of: scholarly article
title: Conservative cross diffusions and pattern formation through relaxation
zbMATH Open document ID: 1179.35156
author: Mostafa Bendahmane
author: Thomas Lepoutre
author: Americo Marrocco
author: Ben{ôı}t Perthame
published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série
publication date: 2010-01-05T00:00:00Z
full work available at URL: cross ps.pdf
Mathematics Subject Classification ID: 35K51
Mathematics Subject Classification ID: 35K59
Mathematics Subject Classification ID: 35B44
zbMATH DE Number: 5653512
zbMATH Keywords: cross-diffusions
zbMATH Keywords: duality method
zbMATH Keywords: Turing instability
zbMATH Keywords: patch formation
Wikidata QID: Q60502822
MaRDI profile type: Publication
OpenAlex ID: W2035136471
cites work: Dynamic theory of quasilinear parabolic equations—I. Abstract evolution equations
cites work: Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
cites work: Erratum: ``Dynamic theory of quasilinear parabolic systems. III: Global existence''
cites work: A one-dimensional model of cell diffusion and aggregation, incorporating volume filling and cell-to-cell adhesion
cites work: Global existence for coupled reaction-diffusion systems
cites work: Analysis of a parabolic cross-diffusion population model without self-diffusion
cites work: Analysis of a Parabolic Cross-Diffusion Semiconductor Model with Electron-Hole Scattering
cites work: Symmetrization and entropy inequality for general diffusion equations
cites work: Global Existence for Quadratic Systems of Reaction-Diffusion
cites work: A survey of entropy methods for partial differential equations
cites work: IRREVERSIBILITY AND HYSTERESIS FOR A FORWARD–BACKWARD DIFFUSION EQUATION
cites work: An existence result to a strongly coupled degenerated system arising in tumor modeling
cites work: Diffusion, cross-diffusion and competitive interaction
cites work: Reaction-diffusion system approximation to the cross-diffusion competition system
cites work: On the normal form of the symmetric hyperbolic-parabolic systems associated with the conservation laws
cites work: Global existence of solutions to a cross-diffusion system in higher dimensional domains
cites work: Diffusion, self-diffusion and cross-diffusion
cites work: Numerical simulation of chemotactic bacteria aggregation via mixed finite elements
cites work: Spatial segregation in competitive interaction-diffusion equations
cites work: Stable Patterns in a Viscous Diffusion Equation
cites work: Q3856484
cites work: Weak solutions and supersolutions in \(L^1\) for reaction-diffusion systems
cites work: Blowup in Reaction-Diffusion Systems with Dissipation of Mass
cites work: Q4846423
cites work: The global existence of solutions for a cross-diffusion system
DOI: 10.1016/J.MATPUR.2009.05.003
description: scientific article; zbMATH DE number 5653512