When do cross-diffusion systems have an entropy structure?

DOI10.1016/j.jde.2020.12.037zbMath1456.35104arXiv1908.06873OpenAlexW3119087948MaRDI QIDQ2223601

Ansgar Jüngel, Xiu-Qing Chen

Publication date: 29 January 2021

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.06873

zbMATH Keywords

matrix factorizationKeller-Segel systempopulation modelOnsager matrixfluid mixturesnormal ellipticity

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrix equations and identities (15A24) Cell movement (chemotaxis, etc.) (92C17) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (4)

Nonlocal cross-diffusion systems for multi-species populations and networks ⋮ Analysis of a fractional cross-diffusion system for multi-species populations ⋮ On multi-species diffusion with size exclusion ⋮ An Entropy Structure Preserving Space-Time Formulation for Cross-Diffusion Systems: Analysis and Galerkin Discretization

Cites Work

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• Analysis of degenerate cross-diffusion population models with volume filling
• Dynamic theory of quasilinear parabolic equations. II: Reaction-diffusion systems
• Global solutions of some chemotaxis and angiogenesis system in high space dimension
• Global existence analysis of cross-diffusion population systems for multiple species
• Rigorous mean-field limit and cross-diffusion
• Entropy Methods for Diffusive Partial Differential Equations
• Note on the Factorization of a Square Matrix into Two Hermitian or Symmetric Matrices
• Cross Diffusion Preventing Blow-Up in the Two-Dimensional Keller–Segel Model

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